Greatest Common Factor of 7516 and 7522

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 7516, 7522 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7516 and 7522 is 2.

GCF(7516,7522) = 2

GCF of 7516 and 7522

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

GCF of:
and

Greatest Common Factor of 7516 and 7522

GCF of 7516 and 7522 is 2

Prime Factorization of 7516


2 7516
2 3758
1879 1879
1

Prime factors of 7516 are 2,1879. Prime factorization of 7516 in exponential form is:

7516 = 22×18791

Prime Factorization of 7522


2 7522
3761 3761
1

Prime factors of 7522 are 2,3761. Prime factorization of 7522 in exponential form is:

7522 = 21×37611

∴ So by taking common prime factors GCF of 7516 and 7522 is 2

Greatest Common Factor of 7516 and 7522 by matching factors method

Factors of 7516

List of positive integer factors of 7516 that divides 7516 without a remainder.

1,2,4,1879,3758,7516

Factors of 7522

List of positive integer factors of 7522 that divides 7522 without a remainder.

1,2,3761,7522

Greatest Common Factor

We found the factors and prime factorization of 7516 and 7522. The biggest common factor number is the GCF number.
So the greatest common factor 7516 and 7522 is 2.

Also check out the Least Common Multiple of 7516 and 7522

Properties of GCF 7516 and 7522

(i) The GCF of 7516 and 7522 is associative

GCF of 7516 and 7522 = GCF of 7522 and 7516

Related Greatest Common Factor of 7516

Related Greatest Common Factor of 7522

Frequently Asked Questions on GCF of 7516 and 7522

1. What is the GCF of 7516 and 7522?

Answer: GCF of 7516 and 7522 is 2.

2. What are the Factors of 7516?

Answer: Factors of 7516 are 1, 2, 4, 1879, 3758, 7516. There are 6 integers that are factors of 7516. The greatest factor of 7516 is 7516.

3. What are the Factors of 7522?

Answer: Factors of 7522 are 1, 2, 3761, 7522. There are 4 integers that are factors of 7522. The greatest factor of 7522 is 7522.

4. How to Find the GCF of 7516 and 7522?

Answer:

Greatest Common Factor of 7516 and 7522 = 2

Step 1: Find the prime factorization of 7516

7516 = 2 x 2 x 1879

Step 2: Find the prime factorization of 7522

7522 = 2 x 3761

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

GCF = 2

Step 4: Therefore, the greatest common factor of 7516 and 7522 is 2