Greatest Common Factor of 7644 and 7648

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, 7648 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7644 and 7648 is 4.

GCF(7644,7648) = 4

GCF of 7644 and 7648

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

GCF of:
and

Greatest Common Factor of 7644 and 7648

GCF of 7644 and 7648 is 4

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 7648


2 7648
2 3824
2 1912
2 956
2 478
239 239
1

Prime factors of 7648 are 2,239. Prime factorization of 7648 in exponential form is:

7648 = 25×2391

∴ So by taking common prime factors GCF of 7644 and 7648 is 4

Greatest Common Factor of 7644 and 7648 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 7648

List of positive integer factors of 7648 that divides 7648 without a remainder.

1,2,4,8,16,32,239,478,956,1912,3824,7648

Greatest Common Factor

We found the factors and prime factorization of 7644 and 7648. The biggest common factor number is the GCF number.
So the greatest common factor 7644 and 7648 is 4.

Also check out the Least Common Multiple of 7644 and 7648

Properties of GCF 7644 and 7648

(i) The GCF of 7644 and 7648 is associative

GCF of 7644 and 7648 = GCF of 7648 and 7644

Related Greatest Common Factor of 7644

Related Greatest Common Factor of 7648

Frequently Asked Questions on GCF of 7644 and 7648

1. What is the GCF of 7644 and 7648?

Answer: GCF of 7644 and 7648 is 4.

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 7648?

Answer: Factors of 7648 are 1, 2, 4, 8, 16, 32, 239, 478, 956, 1912, 3824, 7648. There are 12 integers that are factors of 7648. The greatest factor of 7648 is 7648.

4. How to Find the GCF of 7644 and 7648?

Answer:

Greatest Common Factor of 7644 and 7648 = 4

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 7648

7648 = 2 x 2 x 2 x 2 x 2 x 239

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 7644 and 7648 is 4