Greatest Common Factor of 665 and 672

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 665, 672 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 665 and 672 is 7.

GCF(665,672) = 7

GCF of 665 and 672

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

GCF of:
and

Greatest Common Factor of 665 and 672

GCF of 665 and 672 is 7

Prime Factorization of 665


5 665
7 133
19 19
1

Prime factors of 665 are 5,7,19. Prime factorization of 665 in exponential form is:

665 = 51×71×191

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

∴ So by taking common prime factors GCF of 665 and 672 is 7

Greatest Common Factor of 665 and 672 by matching factors method

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

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

Greatest Common Factor

We found the factors and prime factorization of 665 and 672. The biggest common factor number is the GCF number.
So the greatest common factor 665 and 672 is 7.

Also check out the Least Common Multiple of 665 and 672

Properties of GCF 665 and 672

(i) The GCF of 665 and 672 is associative

GCF of 665 and 672 = GCF of 672 and 665

Related Greatest Common Factor of 665

Related Greatest Common Factor of 672

Frequently Asked Questions on GCF of 665 and 672

1. What is the GCF of 665 and 672?

Answer: GCF of 665 and 672 is 7.

2. What are the Factors of 665?

Answer: Factors of 665 are 1, 5, 7, 19, 35, 95, 133, 665. There are 8 integers that are factors of 665. The greatest factor of 665 is 665.

3. 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.

4. How to Find the GCF of 665 and 672?

Answer:

Greatest Common Factor of 665 and 672 = 7

Step 1: Find the prime factorization of 665

665 = 5 x 7 x 19

Step 2: Find the prime factorization of 672

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

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 665 and 672 is 7