Greatest Common Factor of 1516 and 1524

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 1516, 1524 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1516 and 1524 is 4.

GCF(1516,1524) = 4

GCF of 1516 and 1524

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

GCF of:
and

Greatest Common Factor of 1516 and 1524

GCF of 1516 and 1524 is 4

Prime Factorization of 1516


2 1516
2 758
379 379
1

Prime factors of 1516 are 2,379. Prime factorization of 1516 in exponential form is:

1516 = 22×3791

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

∴ So by taking common prime factors GCF of 1516 and 1524 is 4

Greatest Common Factor of 1516 and 1524 by matching factors method

Factors of 1516

List of positive integer factors of 1516 that divides 1516 without a remainder.

1,2,4,379,758,1516

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

Greatest Common Factor

We found the factors and prime factorization of 1516 and 1524. The biggest common factor number is the GCF number.
So the greatest common factor 1516 and 1524 is 4.

Also check out the Least Common Multiple of 1516 and 1524

Properties of GCF 1516 and 1524

(i) The GCF of 1516 and 1524 is associative

GCF of 1516 and 1524 = GCF of 1524 and 1516

Related Greatest Common Factor of 1516

Related Greatest Common Factor of 1524

Frequently Asked Questions on GCF of 1516 and 1524

1. What is the GCF of 1516 and 1524?

Answer: GCF of 1516 and 1524 is 4.

2. What are the Factors of 1516?

Answer: Factors of 1516 are 1, 2, 4, 379, 758, 1516. There are 6 integers that are factors of 1516. The greatest factor of 1516 is 1516.

3. 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.

4. How to Find the GCF of 1516 and 1524?

Answer:

Greatest Common Factor of 1516 and 1524 = 4

Step 1: Find the prime factorization of 1516

1516 = 2 x 2 x 379

Step 2: Find the prime factorization of 1524

1524 = 2 x 2 x 3 x 127

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1516 and 1524 is 4