Greatest Common Factor of 7640 and 7644

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 7640, 7644 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7640 and 7644 is 4.

GCF(7640,7644) = 4

GCF of 7640 and 7644

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

GCF of:
and

Greatest Common Factor of 7640 and 7644

GCF of 7640 and 7644 is 4

Prime Factorization of 7640


2 7640
2 3820
2 1910
5 955
191 191
1

Prime factors of 7640 are 2,5,191. Prime factorization of 7640 in exponential form is:

7640 = 23×51×1911

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

∴ So by taking common prime factors GCF of 7640 and 7644 is 4

Greatest Common Factor of 7640 and 7644 by matching factors method

Factors of 7640

List of positive integer factors of 7640 that divides 7640 without a remainder.

1,2,4,5,8,10,20,40,191,382,764,955,1528,1910,3820,7640

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

Greatest Common Factor

We found the factors and prime factorization of 7640 and 7644. The biggest common factor number is the GCF number.
So the greatest common factor 7640 and 7644 is 4.

Also check out the Least Common Multiple of 7640 and 7644

Properties of GCF 7640 and 7644

(i) The GCF of 7640 and 7644 is associative

GCF of 7640 and 7644 = GCF of 7644 and 7640

Related Greatest Common Factor of 7640

Related Greatest Common Factor of 7644

Frequently Asked Questions on GCF of 7640 and 7644

1. What is the GCF of 7640 and 7644?

Answer: GCF of 7640 and 7644 is 4.

2. What are the Factors of 7640?

Answer: Factors of 7640 are 1, 2, 4, 5, 8, 10, 20, 40, 191, 382, 764, 955, 1528, 1910, 3820, 7640. There are 16 integers that are factors of 7640. The greatest factor of 7640 is 7640.

3. 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.

4. How to Find the GCF of 7640 and 7644?

Answer:

Greatest Common Factor of 7640 and 7644 = 4

Step 1: Find the prime factorization of 7640

7640 = 2 x 2 x 2 x 5 x 191

Step 2: Find the prime factorization of 7644

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

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7640 and 7644 is 4