Greatest Common Factor of 7532 and 7538

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 7532, 7538 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7532 and 7538 is 2.

GCF(7532,7538) = 2

GCF of 7532 and 7538

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

GCF of:
and

Greatest Common Factor of 7532 and 7538

GCF of 7532 and 7538 is 2

Prime Factorization of 7532


2 7532
2 3766
7 1883
269 269
1

Prime factors of 7532 are 2,7,269. Prime factorization of 7532 in exponential form is:

7532 = 22×71×2691

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

∴ So by taking common prime factors GCF of 7532 and 7538 is 2

Greatest Common Factor of 7532 and 7538 by matching factors method

Factors of 7532

List of positive integer factors of 7532 that divides 7532 without a remainder.

1,2,4,7,14,28,269,538,1076,1883,3766,7532

Factors of 7538

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

1,2,3769,7538

Greatest Common Factor

We found the factors and prime factorization of 7532 and 7538. The biggest common factor number is the GCF number.
So the greatest common factor 7532 and 7538 is 2.

Also check out the Least Common Multiple of 7532 and 7538

Properties of GCF 7532 and 7538

(i) The GCF of 7532 and 7538 is associative

GCF of 7532 and 7538 = GCF of 7538 and 7532

Related Greatest Common Factor of 7532

Related Greatest Common Factor of 7538

Frequently Asked Questions on GCF of 7532 and 7538

1. What is the GCF of 7532 and 7538?

Answer: GCF of 7532 and 7538 is 2.

2. What are the Factors of 7532?

Answer: Factors of 7532 are 1, 2, 4, 7, 14, 28, 269, 538, 1076, 1883, 3766, 7532. There are 12 integers that are factors of 7532. The greatest factor of 7532 is 7532.

3. 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.

4. How to Find the GCF of 7532 and 7538?

Answer:

Greatest Common Factor of 7532 and 7538 = 2

Step 1: Find the prime factorization of 7532

7532 = 2 x 2 x 7 x 269

Step 2: Find the prime factorization of 7538

7538 = 2 x 3769

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 7532 and 7538 is 2