Greatest Common Factor of 2496 and 2504

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 2496, 2504 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2496 and 2504 is 8.

GCF(2496,2504) = 8

GCF of 2496 and 2504

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

GCF of:
and

Greatest Common Factor of 2496 and 2504

GCF of 2496 and 2504 is 8

Prime Factorization of 2496


2 2496
2 1248
2 624
2 312
2 156
2 78
3 39
13 13
1

Prime factors of 2496 are 2,3,13. Prime factorization of 2496 in exponential form is:

2496 = 26×31×131

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

∴ So by taking common prime factors GCF of 2496 and 2504 is 8

Greatest Common Factor of 2496 and 2504 by matching factors method

Factors of 2496

List of positive integer factors of 2496 that divides 2496 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,156,192,208,312,416,624,832,1248,2496

Factors of 2504

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

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

Greatest Common Factor

We found the factors and prime factorization of 2496 and 2504. The biggest common factor number is the GCF number.
So the greatest common factor 2496 and 2504 is 8.

Also check out the Least Common Multiple of 2496 and 2504

Properties of GCF 2496 and 2504

(i) The GCF of 2496 and 2504 is associative

GCF of 2496 and 2504 = GCF of 2504 and 2496

Related Greatest Common Factor of 2496

Related Greatest Common Factor of 2504

Frequently Asked Questions on GCF of 2496 and 2504

1. What is the GCF of 2496 and 2504?

Answer: GCF of 2496 and 2504 is 8.

2. What are the Factors of 2496?

Answer: Factors of 2496 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 156, 192, 208, 312, 416, 624, 832, 1248, 2496. There are 28 integers that are factors of 2496. The greatest factor of 2496 is 2496.

3. 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.

4. How to Find the GCF of 2496 and 2504?

Answer:

Greatest Common Factor of 2496 and 2504 = 8

Step 1: Find the prime factorization of 2496

2496 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13

Step 2: Find the prime factorization of 2504

2504 = 2 x 2 x 2 x 313

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 2496 and 2504 is 8