Greatest Common Factor of 7665 and 7672

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 7665, 7672 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7665 and 7672 is 7.

GCF(7665,7672) = 7

GCF of 7665 and 7672

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

GCF of:
and

Greatest Common Factor of 7665 and 7672

GCF of 7665 and 7672 is 7

Prime Factorization of 7665


3 7665
5 2555
7 511
73 73
1

Prime factors of 7665 are 3,5,7,73. Prime factorization of 7665 in exponential form is:

7665 = 31×51×71×731

Prime Factorization of 7672


2 7672
2 3836
2 1918
7 959
137 137
1

Prime factors of 7672 are 2,7,137. Prime factorization of 7672 in exponential form is:

7672 = 23×71×1371

∴ So by taking common prime factors GCF of 7665 and 7672 is 7

Greatest Common Factor of 7665 and 7672 by matching factors method

Factors of 7665

List of positive integer factors of 7665 that divides 7665 without a remainder.

1,3,5,7,15,21,35,73,105,219,365,511,1095,1533,2555,7665

Factors of 7672

List of positive integer factors of 7672 that divides 7672 without a remainder.

1,2,4,7,8,14,28,56,137,274,548,959,1096,1918,3836,7672

Greatest Common Factor

We found the factors and prime factorization of 7665 and 7672. The biggest common factor number is the GCF number.
So the greatest common factor 7665 and 7672 is 7.

Also check out the Least Common Multiple of 7665 and 7672

Properties of GCF 7665 and 7672

(i) The GCF of 7665 and 7672 is associative

GCF of 7665 and 7672 = GCF of 7672 and 7665

Related Greatest Common Factor of 7665

Related Greatest Common Factor of 7672

Frequently Asked Questions on GCF of 7665 and 7672

1. What is the GCF of 7665 and 7672?

Answer: GCF of 7665 and 7672 is 7.

2. What are the Factors of 7665?

Answer: Factors of 7665 are 1, 3, 5, 7, 15, 21, 35, 73, 105, 219, 365, 511, 1095, 1533, 2555, 7665. There are 16 integers that are factors of 7665. The greatest factor of 7665 is 7665.

3. What are the Factors of 7672?

Answer: Factors of 7672 are 1, 2, 4, 7, 8, 14, 28, 56, 137, 274, 548, 959, 1096, 1918, 3836, 7672. There are 16 integers that are factors of 7672. The greatest factor of 7672 is 7672.

4. How to Find the GCF of 7665 and 7672?

Answer:

Greatest Common Factor of 7665 and 7672 = 7

Step 1: Find the prime factorization of 7665

7665 = 3 x 5 x 7 x 73

Step 2: Find the prime factorization of 7672

7672 = 2 x 2 x 2 x 7 x 137

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 7665 and 7672 is 7