Greatest Common Factor of 1506 and 1512

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 1506, 1512 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1506 and 1512 is 6.

GCF(1506,1512) = 6

GCF of 1506 and 1512

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

GCF of:
and

Greatest Common Factor of 1506 and 1512

GCF of 1506 and 1512 is 6

Prime Factorization of 1506


2 1506
3 753
251 251
1

Prime factors of 1506 are 2,3,251. Prime factorization of 1506 in exponential form is:

1506 = 21×31×2511

Prime Factorization of 1512


2 1512
2 756
2 378
3 189
3 63
3 21
7 7
1

Prime factors of 1512 are 2,3,7. Prime factorization of 1512 in exponential form is:

1512 = 23×33×71

∴ So by taking common prime factors GCF of 1506 and 1512 is 6

Greatest Common Factor of 1506 and 1512 by matching factors method

Factors of 1506

List of positive integer factors of 1506 that divides 1506 without a remainder.

1,2,3,6,251,502,753,1506

Factors of 1512

List of positive integer factors of 1512 that divides 1512 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,27,28,36,42,54,56,63,72,84,108,126,168,189,216,252,378,504,756,1512

Greatest Common Factor

We found the factors and prime factorization of 1506 and 1512. The biggest common factor number is the GCF number.
So the greatest common factor 1506 and 1512 is 6.

Also check out the Least Common Multiple of 1506 and 1512

Properties of GCF 1506 and 1512

(i) The GCF of 1506 and 1512 is associative

GCF of 1506 and 1512 = GCF of 1512 and 1506

Related Greatest Common Factor of 1506

Related Greatest Common Factor of 1512

Frequently Asked Questions on GCF of 1506 and 1512

1. What is the GCF of 1506 and 1512?

Answer: GCF of 1506 and 1512 is 6.

2. What are the Factors of 1506?

Answer: Factors of 1506 are 1, 2, 3, 6, 251, 502, 753, 1506. There are 8 integers that are factors of 1506. The greatest factor of 1506 is 1506.

3. What are the Factors of 1512?

Answer: Factors of 1512 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 84, 108, 126, 168, 189, 216, 252, 378, 504, 756, 1512. There are 32 integers that are factors of 1512. The greatest factor of 1512 is 1512.

4. How to Find the GCF of 1506 and 1512?

Answer:

Greatest Common Factor of 1506 and 1512 = 6

Step 1: Find the prime factorization of 1506

1506 = 2 x 3 x 251

Step 2: Find the prime factorization of 1512

1512 = 2 x 2 x 2 x 3 x 3 x 3 x 7

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 1506 and 1512 is 6