Greatest Common Factor of 7644 and 7651

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 7644, 7651 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7644 and 7651 is 7.

GCF(7644,7651) = 7

GCF of 7644 and 7651

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

GCF of:
and

Greatest Common Factor of 7644 and 7651

GCF of 7644 and 7651 is 7

Prime Factorization of 7644


2 7644
2 3822
3 1911
7 637
7 91
13 13
1

Prime factors of 7644 are 2,3,7,13. Prime factorization of 7644 in exponential form is:

7644 = 22×31×72×131

Prime Factorization of 7651


7 7651
1093 1093
1

Prime factors of 7651 are 7,1093. Prime factorization of 7651 in exponential form is:

7651 = 71×10931

∴ So by taking common prime factors GCF of 7644 and 7651 is 7

Greatest Common Factor of 7644 and 7651 by matching factors method

Factors of 7644

List of positive integer factors of 7644 that divides 7644 without a remainder.

1,2,3,4,6,7,12,13,14,21,26,28,39,42,49,52,78,84,91,98,147,156,182,196,273,294,364,546,588,637,1092,1274,1911,2548,3822,7644

Factors of 7651

List of positive integer factors of 7651 that divides 7651 without a remainder.

1,7,1093,7651

Greatest Common Factor

We found the factors and prime factorization of 7644 and 7651. The biggest common factor number is the GCF number.
So the greatest common factor 7644 and 7651 is 7.

Also check out the Least Common Multiple of 7644 and 7651

Properties of GCF 7644 and 7651

(i) The GCF of 7644 and 7651 is associative

GCF of 7644 and 7651 = GCF of 7651 and 7644

Related Greatest Common Factor of 7644

Related Greatest Common Factor of 7651

Frequently Asked Questions on GCF of 7644 and 7651

1. What is the GCF of 7644 and 7651?

Answer: GCF of 7644 and 7651 is 7.

2. What are the Factors of 7644?

Answer: Factors of 7644 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 49, 52, 78, 84, 91, 98, 147, 156, 182, 196, 273, 294, 364, 546, 588, 637, 1092, 1274, 1911, 2548, 3822, 7644. There are 36 integers that are factors of 7644. The greatest factor of 7644 is 7644.

3. What are the Factors of 7651?

Answer: Factors of 7651 are 1, 7, 1093, 7651. There are 4 integers that are factors of 7651. The greatest factor of 7651 is 7651.

4. How to Find the GCF of 7644 and 7651?

Answer:

Greatest Common Factor of 7644 and 7651 = 7

Step 1: Find the prime factorization of 7644

7644 = 2 x 2 x 3 x 7 x 7 x 13

Step 2: Find the prime factorization of 7651

7651 = 7 x 1093

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 7644 and 7651 is 7