Greatest Common Factor of 2504 and 2512

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 2504, 2512 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2504 and 2512 is 8.

GCF(2504,2512) = 8

GCF of 2504 and 2512

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

GCF of:
and

Greatest Common Factor of 2504 and 2512

GCF of 2504 and 2512 is 8

Prime Factorization of 2504


2 2504
2 1252
2 626
313 313
1

Prime factors of 2504 are 2,313. Prime factorization of 2504 in exponential form is:

2504 = 23×3131

Prime Factorization of 2512


2 2512
2 1256
2 628
2 314
157 157
1

Prime factors of 2512 are 2,157. Prime factorization of 2512 in exponential form is:

2512 = 24×1571

∴ So by taking common prime factors GCF of 2504 and 2512 is 8

Greatest Common Factor of 2504 and 2512 by matching factors method

Factors of 2504

List of positive integer factors of 2504 that divides 2504 without a remainder.

1,2,4,8,313,626,1252,2504

Factors of 2512

List of positive integer factors of 2512 that divides 2512 without a remainder.

1,2,4,8,16,157,314,628,1256,2512

Greatest Common Factor

We found the factors and prime factorization of 2504 and 2512. The biggest common factor number is the GCF number.
So the greatest common factor 2504 and 2512 is 8.

Also check out the Least Common Multiple of 2504 and 2512

Properties of GCF 2504 and 2512

(i) The GCF of 2504 and 2512 is associative

GCF of 2504 and 2512 = GCF of 2512 and 2504

Related Greatest Common Factor of 2504

Related Greatest Common Factor of 2512

Frequently Asked Questions on GCF of 2504 and 2512

1. What is the GCF of 2504 and 2512?

Answer: GCF of 2504 and 2512 is 8.

2. What are the Factors of 2504?

Answer: Factors of 2504 are 1, 2, 4, 8, 313, 626, 1252, 2504. There are 8 integers that are factors of 2504. The greatest factor of 2504 is 2504.

3. What are the Factors of 2512?

Answer: Factors of 2512 are 1, 2, 4, 8, 16, 157, 314, 628, 1256, 2512. There are 10 integers that are factors of 2512. The greatest factor of 2512 is 2512.

4. How to Find the GCF of 2504 and 2512?

Answer:

Greatest Common Factor of 2504 and 2512 = 8

Step 1: Find the prime factorization of 2504

2504 = 2 x 2 x 2 x 313

Step 2: Find the prime factorization of 2512

2512 = 2 x 2 x 2 x 2 x 157

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 2504 and 2512 is 8