Greatest Common Factor of 670 and 676

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 670, 676 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 670 and 676 is 2.

GCF(670,676) = 2

GCF of 670 and 676

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

GCF of:
and

Greatest Common Factor of 670 and 676

GCF of 670 and 676 is 2

Prime Factorization of 670


2 670
5 335
67 67
1

Prime factors of 670 are 2,5,67. Prime factorization of 670 in exponential form is:

670 = 21×51×671

Prime Factorization of 676


2 676
2 338
13 169
13 13
1

Prime factors of 676 are 2,13. Prime factorization of 676 in exponential form is:

676 = 22×132

∴ So by taking common prime factors GCF of 670 and 676 is 2

Greatest Common Factor of 670 and 676 by matching factors method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors and prime factorization of 670 and 676. The biggest common factor number is the GCF number.
So the greatest common factor 670 and 676 is 2.

Also check out the Least Common Multiple of 670 and 676

Properties of GCF 670 and 676

(i) The GCF of 670 and 676 is associative

GCF of 670 and 676 = GCF of 676 and 670

Related Greatest Common Factor of 670

Related Greatest Common Factor of 676

Frequently Asked Questions on GCF of 670 and 676

1. What is the GCF of 670 and 676?

Answer: GCF of 670 and 676 is 2.

2. What are the Factors of 670?

Answer: Factors of 670 are 1, 2, 5, 10, 67, 134, 335, 670. There are 8 integers that are factors of 670. The greatest factor of 670 is 670.

3. What are the Factors of 676?

Answer: Factors of 676 are 1, 2, 4, 13, 26, 52, 169, 338, 676. There are 9 integers that are factors of 676. The greatest factor of 676 is 676.

4. How to Find the GCF of 670 and 676?

Answer:

Greatest Common Factor of 670 and 676 = 2

Step 1: Find the prime factorization of 670

670 = 2 x 5 x 67

Step 2: Find the prime factorization of 676

676 = 2 x 2 x 13 x 13

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

GCF = 2

Step 4: Therefore, the greatest common factor of 670 and 676 is 2