HCF of 35 and 70

The HCF of 35 and 70 is 35. The listing common factors, prime factorisation, and long division are the three most frequent methods for calculating the HCF of 35 and 70. The greatest number that divides 35 and 70 exactly, leaving no leftover, is the HCF of 35 and 70. The factors of 35 and 70 are, respectively, 1, 5, 7, 35 and 1, 2, 5, 7, 10, 14, 35, and 70.

Also read: Highest common factor

What is the HCF of 35 and 70?

The answer to this question is 35. This article shows the HCF of 35 and 70 using various methods for your reference. The greatest of all their common factors is the Highest Common Factor (HCF) of two or more numbers.

How to Find HCF of 35 and 70?

There are three methods to find the HCF of 35 and 70:

• Prime Factorisation
• Long Division method
• Listing common factors

HCF of 35 and 70 by Prime Factorisation Method

The prime factorisation of 35 and 70 is given by:

Prime factorisation of 35 = (5 × 7)

Prime factorisation of 70 = (2 × 5 × 7)

Hence, the HCF of 35 and 70 is 5 × 7 = 35.

HCF (35, 70) = 35

HCF of 35 and 70 by Long Division Method

The divisor that we receive when the remainder becomes 0 after executing long division repeatedly is HCF of 35 and 70.

No further division can be done. 

Hence, HCF (35, 70) = 35

HCF of 35 and 70 by Listing the Factors

To calculate the HCF of 35 and 70 by listing out the common factors, list the factors as shown below:

Factors of 35 = 1, 5, 7, 35

Factors of 70 = 1, 2, 5, 7, 10, 14, 35, 70

Therefore, the HCF of 35 and 70 is 35.

Related Articles

• HCF
• HCF of Two Numbers
• HCF and LCM
• Relation between HCF and LCM
• GCF calculator

Video Lesson on Properties of HCF and LCM

HCF of 35 and 70 Solved Example

Find the highest number that divides 35 and 70 exactly.

Solution:

The highest number that divides 35 and 70 exactly is their highest common factor, i.e. HCF of 35 and 70.

⇒ Factors of 35 and 70:

Factors of 35 = 1, 5, 7, 35

Factors of 70 = 1, 2, 5, 7, 10, 14, 35, 70

Therefore, the HCF of 35 and 70 is 35.