Greatest Common Factor of 1530 and 1538

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 1530, 1538 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1530 and 1538 is 2.

GCF(1530,1538) = 2

GCF of 1530 and 1538

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

GCF of:
and

Greatest Common Factor of 1530 and 1538

GCF of 1530 and 1538 is 2

Prime Factorization of 1530


2 1530
3 765
3 255
5 85
17 17
1

Prime factors of 1530 are 2,3,5,17. Prime factorization of 1530 in exponential form is:

1530 = 21×32×51×171

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

∴ So by taking common prime factors GCF of 1530 and 1538 is 2

Greatest Common Factor of 1530 and 1538 by matching factors method

Factors of 1530

List of positive integer factors of 1530 that divides 1530 without a remainder.

1,2,3,5,6,9,10,15,17,18,30,34,45,51,85,90,102,153,170,255,306,510,765,1530

Factors of 1538

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

1,2,769,1538

Greatest Common Factor

We found the factors and prime factorization of 1530 and 1538. The biggest common factor number is the GCF number.
So the greatest common factor 1530 and 1538 is 2.

Also check out the Least Common Multiple of 1530 and 1538

Properties of GCF 1530 and 1538

(i) The GCF of 1530 and 1538 is associative

GCF of 1530 and 1538 = GCF of 1538 and 1530

Related Greatest Common Factor of 1530

Related Greatest Common Factor of 1538

Frequently Asked Questions on GCF of 1530 and 1538

1. What is the GCF of 1530 and 1538?

Answer: GCF of 1530 and 1538 is 2.

2. What are the Factors of 1530?

Answer: Factors of 1530 are 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 85, 90, 102, 153, 170, 255, 306, 510, 765, 1530. There are 24 integers that are factors of 1530. The greatest factor of 1530 is 1530.

3. 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.

4. How to Find the GCF of 1530 and 1538?

Answer:

Greatest Common Factor of 1530 and 1538 = 2

Step 1: Find the prime factorization of 1530

1530 = 2 x 3 x 3 x 5 x 17

Step 2: Find the prime factorization of 1538

1538 = 2 x 769

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 1530 and 1538 is 2