Greatest Common Factor of 7570 and 7575

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 7570, 7575 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7570 and 7575 is 5.

GCF(7570,7575) = 5

GCF of 7570 and 7575

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

GCF of:
and

Greatest Common Factor of 7570 and 7575

GCF of 7570 and 7575 is 5

Prime Factorization of 7570


2 7570
5 3785
757 757
1

Prime factors of 7570 are 2,5,757. Prime factorization of 7570 in exponential form is:

7570 = 21×51×7571

Prime Factorization of 7575


3 7575
5 2525
5 505
101 101
1

Prime factors of 7575 are 3,5,101. Prime factorization of 7575 in exponential form is:

7575 = 31×52×1011

∴ So by taking common prime factors GCF of 7570 and 7575 is 5

Greatest Common Factor of 7570 and 7575 by matching factors method

Factors of 7570

List of positive integer factors of 7570 that divides 7570 without a remainder.

1,2,5,10,757,1514,3785,7570

Factors of 7575

List of positive integer factors of 7575 that divides 7575 without a remainder.

1,3,5,15,25,75,101,303,505,1515,2525,7575

Greatest Common Factor

We found the factors and prime factorization of 7570 and 7575. The biggest common factor number is the GCF number.
So the greatest common factor 7570 and 7575 is 5.

Also check out the Least Common Multiple of 7570 and 7575

Properties of GCF 7570 and 7575

(i) The GCF of 7570 and 7575 is associative

GCF of 7570 and 7575 = GCF of 7575 and 7570

Related Greatest Common Factor of 7570

Related Greatest Common Factor of 7575

Frequently Asked Questions on GCF of 7570 and 7575

1. What is the GCF of 7570 and 7575?

Answer: GCF of 7570 and 7575 is 5.

2. What are the Factors of 7570?

Answer: Factors of 7570 are 1, 2, 5, 10, 757, 1514, 3785, 7570. There are 8 integers that are factors of 7570. The greatest factor of 7570 is 7570.

3. What are the Factors of 7575?

Answer: Factors of 7575 are 1, 3, 5, 15, 25, 75, 101, 303, 505, 1515, 2525, 7575. There are 12 integers that are factors of 7575. The greatest factor of 7575 is 7575.

4. How to Find the GCF of 7570 and 7575?

Answer:

Greatest Common Factor of 7570 and 7575 = 5

Step 1: Find the prime factorization of 7570

7570 = 2 x 5 x 757

Step 2: Find the prime factorization of 7575

7575 = 3 x 5 x 5 x 101

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

GCF = 5

Step 4: Therefore, the greatest common factor of 7570 and 7575 is 5