Greatest Common Factor of 538 and 545

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

Greatest common factor (GCF) of 538 and 545 is 1.

GCF(538,545) = 1

GCF of 538 and 545

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

GCF of:
and

Greatest Common Factor of 538 and 545

GCF of 538 and 545 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 545


5 545
109 109
1

Prime factors of 545 are 5,109. Prime factorization of 545 in exponential form is:

545 = 51×1091

∴ So by taking common prime factors GCF of 538 and 545 is 1

Greatest Common Factor of 538 and 545 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 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Greatest Common Factor

We found the factors and prime factorization of 538 and 545. The biggest common factor number is the GCF number.
So the greatest common factor 538 and 545 is 1.

Also check out the Least Common Multiple of 538 and 545

Properties of GCF 538 and 545

(i) The GCF of 538 and 545 is associative

GCF of 538 and 545 = GCF of 545 and 538

Related Greatest Common Factor of 538

Related Greatest Common Factor of 545

Frequently Asked Questions on GCF of 538 and 545

1. What is the GCF of 538 and 545?

Answer: GCF of 538 and 545 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 545?

Answer: Factors of 545 are 1, 5, 109, 545. There are 4 integers that are factors of 545. The greatest factor of 545 is 545.

4. How to Find the GCF of 538 and 545?

Answer:

Greatest Common Factor of 538 and 545 = 1

Step 1: Find the prime factorization of 538

538 = 2 x 269

Step 2: Find the prime factorization of 545

545 = 5 x 109

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 545 is 1