Greatest Common Factor of 538 and 541

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 538, 541 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 538 and 541 is 1.

GCF(538,541) = 1

GCF of 538 and 541

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

GCF of:
and

Greatest Common Factor of 538 and 541

GCF of 538 and 541 is 1

Prime Factorization of 538


2 538
269 269
1

Prime factors of 538 are 2,269. Prime factorization of 538 in exponential form is:

538 = 21×2691

Prime Factorization of 541


541 541
1

Prime factors of 541 are 541. Prime factorization of 541 in exponential form is:

541 = 5411

∴ So by taking common prime factors GCF of 538 and 541 is 1

Greatest Common Factor of 538 and 541 by matching factors method

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Greatest Common Factor

We found the factors and prime factorization of 538 and 541. The biggest common factor number is the GCF number.
So the greatest common factor 538 and 541 is 1.

Also check out the Least Common Multiple of 538 and 541

Properties of GCF 538 and 541

(i) The GCF of 538 and 541 is associative

GCF of 538 and 541 = GCF of 541 and 538

Related Greatest Common Factor of 538

Related Greatest Common Factor of 541

Frequently Asked Questions on GCF of 538 and 541

1. What is the GCF of 538 and 541?

Answer: GCF of 538 and 541 is 1.

2. What are the Factors of 538?

Answer: Factors of 538 are 1, 2, 269, 538. There are 4 integers that are factors of 538. The greatest factor of 538 is 538.

3. What are the Factors of 541?

Answer: Factors of 541 are 1, 541. There are 2 integers that are factors of 541. The greatest factor of 541 is 541.

4. How to Find the GCF of 538 and 541?

Answer:

Greatest Common Factor of 538 and 541 = 1

Step 1: Find the prime factorization of 538

538 = 2 x 269

Step 2: Find the prime factorization of 541

541 = 541

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 538 and 541 is 1