Greatest Common Factor of 1530 and 1537

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, 1537 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1530 and 1537 is 1.

GCF(1530,1537) = 1

GCF of 1530 and 1537

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

GCF of:
and

Greatest Common Factor of 1530 and 1537

GCF of 1530 and 1537 is 1

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 1537


29 1537
53 53
1

Prime factors of 1537 are 29,53. Prime factorization of 1537 in exponential form is:

1537 = 291×531

∴ So by taking common prime factors GCF of 1530 and 1537 is 1

Greatest Common Factor of 1530 and 1537 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 1537

List of positive integer factors of 1537 that divides 1537 without a remainder.

1,29,53,1537

Greatest Common Factor

We found the factors and prime factorization of 1530 and 1537. The biggest common factor number is the GCF number.
So the greatest common factor 1530 and 1537 is 1.

Also check out the Least Common Multiple of 1530 and 1537

Properties of GCF 1530 and 1537

(i) The GCF of 1530 and 1537 is associative

GCF of 1530 and 1537 = GCF of 1537 and 1530

Related Greatest Common Factor of 1530

Related Greatest Common Factor of 1537

Frequently Asked Questions on GCF of 1530 and 1537

1. What is the GCF of 1530 and 1537?

Answer: GCF of 1530 and 1537 is 1.

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 1537?

Answer: Factors of 1537 are 1, 29, 53, 1537. There are 4 integers that are factors of 1537. The greatest factor of 1537 is 1537.

4. How to Find the GCF of 1530 and 1537?

Answer:

Greatest Common Factor of 1530 and 1537 = 1

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 1537

1537 = 29 x 53

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 1530 and 1537 is 1