Greatest Common Factor of 70 and 77

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 70, 77 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 70 and 77 is 7.

GCF(70,77) = 7

GCF of 70 and 77

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 70 and 77

GCF of 70 and 77 is 7

Prime Factorization of 70


2 70
5 35
7 7
1

Prime factors of 70 are 2,5,7. Prime factorization of 70 in exponential form is:

70 = 21×51×71

Prime Factorization of 77


7 77
11 11
1

Prime factors of 77 are 7,11. Prime factorization of 77 in exponential form is:

77 = 71×111

∴ So by taking common prime factors GCF of 70 and 77 is 7

Greatest Common Factor of 70 and 77 by matching factors method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Greatest Common Factor

We found the factors and prime factorization of 70 and 77. The biggest common factor number is the GCF number.
So the greatest common factor 70 and 77 is 7.

Also check out the Least Common Multiple of 70 and 77

Properties of GCF 70 and 77

(i) The GCF of 70 and 77 is associative

GCF of 70 and 77 = GCF of 77 and 70

Related Greatest Common Factor of 70

Related Greatest Common Factor of 77

Frequently Asked Questions on GCF of 70 and 77

1. What is the GCF of 70 and 77?

Answer: GCF of 70 and 77 is 7.

2. What are the Factors of 70?

Answer: Factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70. There are 8 integers that are factors of 70. The greatest factor of 70 is 70.

3. What are the Factors of 77?

Answer: Factors of 77 are 1, 7, 11, 77. There are 4 integers that are factors of 77. The greatest factor of 77 is 77.

4. How to Find the GCF of 70 and 77?

Answer:

Greatest Common Factor of 70 and 77 = 7

Step 1: Find the prime factorization of 70

70 = 2 x 5 x 7

Step 2: Find the prime factorization of 77

77 = 7 x 11

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 70 and 77 is 7