Greatest Common Factor of 7560 and 7564

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 7560, 7564 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7560 and 7564 is 4.

GCF(7560,7564) = 4

GCF of 7560 and 7564

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

GCF of:
and

Greatest Common Factor of 7560 and 7564

GCF of 7560 and 7564 is 4

Prime Factorization of 7560


2 7560
2 3780
2 1890
3 945
3 315
3 105
5 35
7 7
1

Prime factors of 7560 are 2,3,5,7. Prime factorization of 7560 in exponential form is:

7560 = 23×33×51×71

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

∴ So by taking common prime factors GCF of 7560 and 7564 is 4

Greatest Common Factor of 7560 and 7564 by matching factors method

Factors of 7560

List of positive integer factors of 7560 that divides 7560 without a remainder.

1,2,3,4,5,6,7,8,9,10,12,14,15,18,20,21,24,27,28,30,35,36,40,42,45,54,56,60,63,70,72,84,90,105,108,120,126,135,140,168,180,189,210,216,252,270,280,315,360,378,420,504,540,630,756,840,945,1080,1260,1512,1890,2520,3780,7560

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

Greatest Common Factor

We found the factors and prime factorization of 7560 and 7564. The biggest common factor number is the GCF number.
So the greatest common factor 7560 and 7564 is 4.

Also check out the Least Common Multiple of 7560 and 7564

Properties of GCF 7560 and 7564

(i) The GCF of 7560 and 7564 is associative

GCF of 7560 and 7564 = GCF of 7564 and 7560

Related Greatest Common Factor of 7560

Related Greatest Common Factor of 7564

Frequently Asked Questions on GCF of 7560 and 7564

1. What is the GCF of 7560 and 7564?

Answer: GCF of 7560 and 7564 is 4.

2. What are the Factors of 7560?

Answer: Factors of 7560 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 54, 56, 60, 63, 70, 72, 84, 90, 105, 108, 120, 126, 135, 140, 168, 180, 189, 210, 216, 252, 270, 280, 315, 360, 378, 420, 504, 540, 630, 756, 840, 945, 1080, 1260, 1512, 1890, 2520, 3780, 7560. There are 64 integers that are factors of 7560. The greatest factor of 7560 is 7560.

3. 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.

4. How to Find the GCF of 7560 and 7564?

Answer:

Greatest Common Factor of 7560 and 7564 = 4

Step 1: Find the prime factorization of 7560

7560 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7

Step 2: Find the prime factorization of 7564

7564 = 2 x 2 x 31 x 61

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 7560 and 7564 is 4