Greatest Common Factor of 6537 and 6542

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 6537, 6542 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6537 and 6542 is 1.

GCF(6537,6542) = 1

GCF of 6537 and 6542

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

GCF of:
and

Greatest Common Factor of 6537 and 6542

GCF of 6537 and 6542 is 1

Prime Factorization of 6537


3 6537
2179 2179
1

Prime factors of 6537 are 3,2179. Prime factorization of 6537 in exponential form is:

6537 = 31×21791

Prime Factorization of 6542


2 6542
3271 3271
1

Prime factors of 6542 are 2,3271. Prime factorization of 6542 in exponential form is:

6542 = 21×32711

∴ So by taking common prime factors GCF of 6537 and 6542 is 1

Greatest Common Factor of 6537 and 6542 by matching factors method

Factors of 6537

List of positive integer factors of 6537 that divides 6537 without a remainder.

1,3,2179,6537

Factors of 6542

List of positive integer factors of 6542 that divides 6542 without a remainder.

1,2,3271,6542

Greatest Common Factor

We found the factors and prime factorization of 6537 and 6542. The biggest common factor number is the GCF number.
So the greatest common factor 6537 and 6542 is 1.

Also check out the Least Common Multiple of 6537 and 6542

Properties of GCF 6537 and 6542

(i) The GCF of 6537 and 6542 is associative

GCF of 6537 and 6542 = GCF of 6542 and 6537

Related Greatest Common Factor of 6537

Related Greatest Common Factor of 6542

Frequently Asked Questions on GCF of 6537 and 6542

1. What is the GCF of 6537 and 6542?

Answer: GCF of 6537 and 6542 is 1.

2. What are the Factors of 6537?

Answer: Factors of 6537 are 1, 3, 2179, 6537. There are 4 integers that are factors of 6537. The greatest factor of 6537 is 6537.

3. What are the Factors of 6542?

Answer: Factors of 6542 are 1, 2, 3271, 6542. There are 4 integers that are factors of 6542. The greatest factor of 6542 is 6542.

4. How to Find the GCF of 6537 and 6542?

Answer:

Greatest Common Factor of 6537 and 6542 = 1

Step 1: Find the prime factorization of 6537

6537 = 3 x 2179

Step 2: Find the prime factorization of 6542

6542 = 2 x 3271

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 6537 and 6542 is 1