Greatest Common Factor of 1524 and 1530

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 1524, 1530 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1524 and 1530 is 6.

GCF(1524,1530) = 6

GCF of 1524 and 1530

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

GCF of:
and

Greatest Common Factor of 1524 and 1530

GCF of 1524 and 1530 is 6

Prime Factorization of 1524


2 1524
2 762
3 381
127 127
1

Prime factors of 1524 are 2,3,127. Prime factorization of 1524 in exponential form is:

1524 = 22×31×1271

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

∴ So by taking common prime factors GCF of 1524 and 1530 is 6

Greatest Common Factor of 1524 and 1530 by matching factors method

Factors of 1524

List of positive integer factors of 1524 that divides 1524 without a remainder.

1,2,3,4,6,12,127,254,381,508,762,1524

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

Greatest Common Factor

We found the factors and prime factorization of 1524 and 1530. The biggest common factor number is the GCF number.
So the greatest common factor 1524 and 1530 is 6.

Also check out the Least Common Multiple of 1524 and 1530

Properties of GCF 1524 and 1530

(i) The GCF of 1524 and 1530 is associative

GCF of 1524 and 1530 = GCF of 1530 and 1524

Related Greatest Common Factor of 1524

Related Greatest Common Factor of 1530

Frequently Asked Questions on GCF of 1524 and 1530

1. What is the GCF of 1524 and 1530?

Answer: GCF of 1524 and 1530 is 6.

2. What are the Factors of 1524?

Answer: Factors of 1524 are 1, 2, 3, 4, 6, 12, 127, 254, 381, 508, 762, 1524. There are 12 integers that are factors of 1524. The greatest factor of 1524 is 1524.

3. 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.

4. How to Find the GCF of 1524 and 1530?

Answer:

Greatest Common Factor of 1524 and 1530 = 6

Step 1: Find the prime factorization of 1524

1524 = 2 x 2 x 3 x 127

Step 2: Find the prime factorization of 1530

1530 = 2 x 3 x 3 x 5 x 17

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 1524 and 1530 is 6