Greatest Common Factor of 7564 and 7568

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 7564, 7568 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7564 and 7568 is 4.

GCF(7564,7568) = 4

GCF of 7564 and 7568

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

GCF of:
and

Greatest Common Factor of 7564 and 7568

GCF of 7564 and 7568 is 4

Prime Factorization of 7564


2 7564
2 3782
31 1891
61 61
1

Prime factors of 7564 are 2,31,61. Prime factorization of 7564 in exponential form is:

7564 = 22×311×611

Prime Factorization of 7568


2 7568
2 3784
2 1892
2 946
11 473
43 43
1

Prime factors of 7568 are 2,11,43. Prime factorization of 7568 in exponential form is:

7568 = 24×111×431

∴ So by taking common prime factors GCF of 7564 and 7568 is 4

Greatest Common Factor of 7564 and 7568 by matching factors method

Factors of 7564

List of positive integer factors of 7564 that divides 7564 without a remainder.

1,2,4,31,61,62,122,124,244,1891,3782,7564

Factors of 7568

List of positive integer factors of 7568 that divides 7568 without a remainder.

1,2,4,8,11,16,22,43,44,86,88,172,176,344,473,688,946,1892,3784,7568

Greatest Common Factor

We found the factors and prime factorization of 7564 and 7568. The biggest common factor number is the GCF number.
So the greatest common factor 7564 and 7568 is 4.

Also check out the Least Common Multiple of 7564 and 7568

Properties of GCF 7564 and 7568

(i) The GCF of 7564 and 7568 is associative

GCF of 7564 and 7568 = GCF of 7568 and 7564

Related Greatest Common Factor of 7564

Related Greatest Common Factor of 7568

Frequently Asked Questions on GCF of 7564 and 7568

1. What is the GCF of 7564 and 7568?

Answer: GCF of 7564 and 7568 is 4.

2. What are the Factors of 7564?

Answer: Factors of 7564 are 1, 2, 4, 31, 61, 62, 122, 124, 244, 1891, 3782, 7564. There are 12 integers that are factors of 7564. The greatest factor of 7564 is 7564.

3. What are the Factors of 7568?

Answer: Factors of 7568 are 1, 2, 4, 8, 11, 16, 22, 43, 44, 86, 88, 172, 176, 344, 473, 688, 946, 1892, 3784, 7568. There are 20 integers that are factors of 7568. The greatest factor of 7568 is 7568.

4. How to Find the GCF of 7564 and 7568?

Answer:

Greatest Common Factor of 7564 and 7568 = 4

Step 1: Find the prime factorization of 7564

7564 = 2 x 2 x 31 x 61

Step 2: Find the prime factorization of 7568

7568 = 2 x 2 x 2 x 2 x 11 x 43

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 7564 and 7568 is 4