Greatest Common Factor of 676 and 681

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 676, 681 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 676 and 681 is 1.

GCF(676,681) = 1

GCF of 676 and 681

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

GCF of:
and

Greatest Common Factor of 676 and 681

GCF of 676 and 681 is 1

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

Prime Factorization of 681


3 681
227 227
1

Prime factors of 681 are 3,227. Prime factorization of 681 in exponential form is:

681 = 31×2271

∴ So by taking common prime factors GCF of 676 and 681 is 1

Greatest Common Factor of 676 and 681 by matching factors method

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

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Greatest Common Factor

We found the factors and prime factorization of 676 and 681. The biggest common factor number is the GCF number.
So the greatest common factor 676 and 681 is 1.

Also check out the Least Common Multiple of 676 and 681

Properties of GCF 676 and 681

(i) The GCF of 676 and 681 is associative

GCF of 676 and 681 = GCF of 681 and 676

Related Greatest Common Factor of 676

Related Greatest Common Factor of 681

Frequently Asked Questions on GCF of 676 and 681

1. What is the GCF of 676 and 681?

Answer: GCF of 676 and 681 is 1.

2. 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.

3. What are the Factors of 681?

Answer: Factors of 681 are 1, 3, 227, 681. There are 4 integers that are factors of 681. The greatest factor of 681 is 681.

4. How to Find the GCF of 676 and 681?

Answer:

Greatest Common Factor of 676 and 681 = 1

Step 1: Find the prime factorization of 676

676 = 2 x 2 x 13 x 13

Step 2: Find the prime factorization of 681

681 = 3 x 227

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 676 and 681 is 1