Greatest Common Factor of 1538 and 1545

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 1538, 1545 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1538 and 1545 is 1.

GCF(1538,1545) = 1

GCF of 1538 and 1545

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

GCF of:
and

Greatest Common Factor of 1538 and 1545

GCF of 1538 and 1545 is 1

Prime Factorization of 1538


2 1538
769 769
1

Prime factors of 1538 are 2,769. Prime factorization of 1538 in exponential form is:

1538 = 21×7691

Prime Factorization of 1545


3 1545
5 515
103 103
1

Prime factors of 1545 are 3,5,103. Prime factorization of 1545 in exponential form is:

1545 = 31×51×1031

∴ So by taking common prime factors GCF of 1538 and 1545 is 1

Greatest Common Factor of 1538 and 1545 by matching factors method

Factors of 1538

List of positive integer factors of 1538 that divides 1538 without a remainder.

1,2,769,1538

Factors of 1545

List of positive integer factors of 1545 that divides 1545 without a remainder.

1,3,5,15,103,309,515,1545

Greatest Common Factor

We found the factors and prime factorization of 1538 and 1545. The biggest common factor number is the GCF number.
So the greatest common factor 1538 and 1545 is 1.

Also check out the Least Common Multiple of 1538 and 1545

Properties of GCF 1538 and 1545

(i) The GCF of 1538 and 1545 is associative

GCF of 1538 and 1545 = GCF of 1545 and 1538

Related Greatest Common Factor of 1538

Related Greatest Common Factor of 1545

Frequently Asked Questions on GCF of 1538 and 1545

1. What is the GCF of 1538 and 1545?

Answer: GCF of 1538 and 1545 is 1.

2. What are the Factors of 1538?

Answer: Factors of 1538 are 1, 2, 769, 1538. There are 4 integers that are factors of 1538. The greatest factor of 1538 is 1538.

3. What are the Factors of 1545?

Answer: Factors of 1545 are 1, 3, 5, 15, 103, 309, 515, 1545. There are 8 integers that are factors of 1545. The greatest factor of 1545 is 1545.

4. How to Find the GCF of 1538 and 1545?

Answer:

Greatest Common Factor of 1538 and 1545 = 1

Step 1: Find the prime factorization of 1538

1538 = 2 x 769

Step 2: Find the prime factorization of 1545

1545 = 3 x 5 x 103

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 1538 and 1545 is 1