Greatest Common Factor of 7560 and 7567

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, 7567 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7560 and 7567 is 7.

GCF(7560,7567) = 7

GCF of 7560 and 7567

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

GCF of:
and

Greatest Common Factor of 7560 and 7567

GCF of 7560 and 7567 is 7

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 7567


7 7567
23 1081
47 47
1

Prime factors of 7567 are 7,23,47. Prime factorization of 7567 in exponential form is:

7567 = 71×231×471

∴ So by taking common prime factors GCF of 7560 and 7567 is 7

Greatest Common Factor of 7560 and 7567 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 7567

List of positive integer factors of 7567 that divides 7567 without a remainder.

1,7,23,47,161,329,1081,7567

Greatest Common Factor

We found the factors and prime factorization of 7560 and 7567. The biggest common factor number is the GCF number.
So the greatest common factor 7560 and 7567 is 7.

Also check out the Least Common Multiple of 7560 and 7567

Properties of GCF 7560 and 7567

(i) The GCF of 7560 and 7567 is associative

GCF of 7560 and 7567 = GCF of 7567 and 7560

Related Greatest Common Factor of 7560

Related Greatest Common Factor of 7567

Frequently Asked Questions on GCF of 7560 and 7567

1. What is the GCF of 7560 and 7567?

Answer: GCF of 7560 and 7567 is 7.

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 7567?

Answer: Factors of 7567 are 1, 7, 23, 47, 161, 329, 1081, 7567. There are 8 integers that are factors of 7567. The greatest factor of 7567 is 7567.

4. How to Find the GCF of 7560 and 7567?

Answer:

Greatest Common Factor of 7560 and 7567 = 7

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 7567

7567 = 7 x 23 x 47

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 7560 and 7567 is 7