Greatest Common Factor of 1521 and 1527

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 1521, 1527 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1521 and 1527 is 3.

GCF(1521,1527) = 3

GCF of 1521 and 1527

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

GCF of:
and

Greatest Common Factor of 1521 and 1527

GCF of 1521 and 1527 is 3

Prime Factorization of 1521


3 1521
3 507
13 169
13 13
1

Prime factors of 1521 are 3,13. Prime factorization of 1521 in exponential form is:

1521 = 32×132

Prime Factorization of 1527


3 1527
509 509
1

Prime factors of 1527 are 3,509. Prime factorization of 1527 in exponential form is:

1527 = 31×5091

∴ So by taking common prime factors GCF of 1521 and 1527 is 3

Greatest Common Factor of 1521 and 1527 by matching factors method

Factors of 1521

List of positive integer factors of 1521 that divides 1521 without a remainder.

1,3,9,13,39,117,169,507,1521

Factors of 1527

List of positive integer factors of 1527 that divides 1527 without a remainder.

1,3,509,1527

Greatest Common Factor

We found the factors and prime factorization of 1521 and 1527. The biggest common factor number is the GCF number.
So the greatest common factor 1521 and 1527 is 3.

Also check out the Least Common Multiple of 1521 and 1527

Properties of GCF 1521 and 1527

(i) The GCF of 1521 and 1527 is associative

GCF of 1521 and 1527 = GCF of 1527 and 1521

Related Greatest Common Factor of 1521

Related Greatest Common Factor of 1527

Frequently Asked Questions on GCF of 1521 and 1527

1. What is the GCF of 1521 and 1527?

Answer: GCF of 1521 and 1527 is 3.

2. What are the Factors of 1521?

Answer: Factors of 1521 are 1, 3, 9, 13, 39, 117, 169, 507, 1521. There are 9 integers that are factors of 1521. The greatest factor of 1521 is 1521.

3. What are the Factors of 1527?

Answer: Factors of 1527 are 1, 3, 509, 1527. There are 4 integers that are factors of 1527. The greatest factor of 1527 is 1527.

4. How to Find the GCF of 1521 and 1527?

Answer:

Greatest Common Factor of 1521 and 1527 = 3

Step 1: Find the prime factorization of 1521

1521 = 3 x 3 x 13 x 13

Step 2: Find the prime factorization of 1527

1527 = 3 x 509

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

GCF = 3

Step 4: Therefore, the greatest common factor of 1521 and 1527 is 3