Greatest Common Factor of 7538 and 7546

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 7538, 7546 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7538 and 7546 is 2.

GCF(7538,7546) = 2

GCF of 7538 and 7546

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

GCF of:
and

Greatest Common Factor of 7538 and 7546

GCF of 7538 and 7546 is 2

Prime Factorization of 7538


2 7538
3769 3769
1

Prime factors of 7538 are 2,3769. Prime factorization of 7538 in exponential form is:

7538 = 21×37691

Prime Factorization of 7546


2 7546
7 3773
7 539
7 77
11 11
1

Prime factors of 7546 are 2,7,11. Prime factorization of 7546 in exponential form is:

7546 = 21×73×111

∴ So by taking common prime factors GCF of 7538 and 7546 is 2

Greatest Common Factor of 7538 and 7546 by matching factors method

Factors of 7538

List of positive integer factors of 7538 that divides 7538 without a remainder.

1,2,3769,7538

Factors of 7546

List of positive integer factors of 7546 that divides 7546 without a remainder.

1,2,7,11,14,22,49,77,98,154,343,539,686,1078,3773,7546

Greatest Common Factor

We found the factors and prime factorization of 7538 and 7546. The biggest common factor number is the GCF number.
So the greatest common factor 7538 and 7546 is 2.

Also check out the Least Common Multiple of 7538 and 7546

Properties of GCF 7538 and 7546

(i) The GCF of 7538 and 7546 is associative

GCF of 7538 and 7546 = GCF of 7546 and 7538

Related Greatest Common Factor of 7538

Related Greatest Common Factor of 7546

Frequently Asked Questions on GCF of 7538 and 7546

1. What is the GCF of 7538 and 7546?

Answer: GCF of 7538 and 7546 is 2.

2. What are the Factors of 7538?

Answer: Factors of 7538 are 1, 2, 3769, 7538. There are 4 integers that are factors of 7538. The greatest factor of 7538 is 7538.

3. What are the Factors of 7546?

Answer: Factors of 7546 are 1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 343, 539, 686, 1078, 3773, 7546. There are 16 integers that are factors of 7546. The greatest factor of 7546 is 7546.

4. How to Find the GCF of 7538 and 7546?

Answer:

Greatest Common Factor of 7538 and 7546 = 2

Step 1: Find the prime factorization of 7538

7538 = 2 x 3769

Step 2: Find the prime factorization of 7546

7546 = 2 x 7 x 7 x 7 x 11

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 7538 and 7546 is 2