Greatest Common Factor of 2496 and 2499

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, 2499 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2496 and 2499 is 3.

GCF(2496,2499) = 3

GCF of 2496 and 2499

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

GCF of:
and

Greatest Common Factor of 2496 and 2499

GCF of 2496 and 2499 is 3

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 2499


3 2499
7 833
7 119
17 17
1

Prime factors of 2499 are 3,7,17. Prime factorization of 2499 in exponential form is:

2499 = 31×72×171

∴ So by taking common prime factors GCF of 2496 and 2499 is 3

Greatest Common Factor of 2496 and 2499 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 2499

List of positive integer factors of 2499 that divides 2499 without a remainder.

1,3,7,17,21,49,51,119,147,357,833,2499

Greatest Common Factor

We found the factors and prime factorization of 2496 and 2499. The biggest common factor number is the GCF number.
So the greatest common factor 2496 and 2499 is 3.

Also check out the Least Common Multiple of 2496 and 2499

Properties of GCF 2496 and 2499

(i) The GCF of 2496 and 2499 is associative

GCF of 2496 and 2499 = GCF of 2499 and 2496

Related Greatest Common Factor of 2496

Related Greatest Common Factor of 2499

Frequently Asked Questions on GCF of 2496 and 2499

1. What is the GCF of 2496 and 2499?

Answer: GCF of 2496 and 2499 is 3.

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 2499?

Answer: Factors of 2499 are 1, 3, 7, 17, 21, 49, 51, 119, 147, 357, 833, 2499. There are 12 integers that are factors of 2499. The greatest factor of 2499 is 2499.

4. How to Find the GCF of 2496 and 2499?

Answer:

Greatest Common Factor of 2496 and 2499 = 3

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 2499

2499 = 3 x 7 x 7 x 17

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 2496 and 2499 is 3