Greatest Common Factor of 672 and 679

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 672, 679 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 672 and 679 is 7.

GCF(672,679) = 7

GCF of 672 and 679

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

GCF of:
and

Greatest Common Factor of 672 and 679

GCF of 672 and 679 is 7

Prime Factorization of 672


2 672
2 336
2 168
2 84
2 42
3 21
7 7
1

Prime factors of 672 are 2,3,7. Prime factorization of 672 in exponential form is:

672 = 25×31×71

Prime Factorization of 679


7 679
97 97
1

Prime factors of 679 are 7,97. Prime factorization of 679 in exponential form is:

679 = 71×971

∴ So by taking common prime factors GCF of 672 and 679 is 7

Greatest Common Factor of 672 and 679 by matching factors method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors and prime factorization of 672 and 679. The biggest common factor number is the GCF number.
So the greatest common factor 672 and 679 is 7.

Also check out the Least Common Multiple of 672 and 679

Properties of GCF 672 and 679

(i) The GCF of 672 and 679 is associative

GCF of 672 and 679 = GCF of 679 and 672

Related Greatest Common Factor of 672

Related Greatest Common Factor of 679

Frequently Asked Questions on GCF of 672 and 679

1. What is the GCF of 672 and 679?

Answer: GCF of 672 and 679 is 7.

2. What are the Factors of 672?

Answer: Factors of 672 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672. There are 24 integers that are factors of 672. The greatest factor of 672 is 672.

3. What are the Factors of 679?

Answer: Factors of 679 are 1, 7, 97, 679. There are 4 integers that are factors of 679. The greatest factor of 679 is 679.

4. How to Find the GCF of 672 and 679?

Answer:

Greatest Common Factor of 672 and 679 = 7

Step 1: Find the prime factorization of 672

672 = 2 x 2 x 2 x 2 x 2 x 3 x 7

Step 2: Find the prime factorization of 679

679 = 7 x 97

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 672 and 679 is 7