Greatest Common Factor of 2494 and 2496

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 2494, 2496 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2494 and 2496 is 2.

GCF(2494,2496) = 2

GCF of 2494 and 2496

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

GCF of:
and

Greatest Common Factor of 2494 and 2496

GCF of 2494 and 2496 is 2

Prime Factorization of 2494


2 2494
29 1247
43 43
1

Prime factors of 2494 are 2,29,43. Prime factorization of 2494 in exponential form is:

2494 = 21×291×431

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

∴ So by taking common prime factors GCF of 2494 and 2496 is 2

Greatest Common Factor of 2494 and 2496 by matching factors method

Factors of 2494

List of positive integer factors of 2494 that divides 2494 without a remainder.

1,2,29,43,58,86,1247,2494

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

Greatest Common Factor

We found the factors and prime factorization of 2494 and 2496. The biggest common factor number is the GCF number.
So the greatest common factor 2494 and 2496 is 2.

Also check out the Least Common Multiple of 2494 and 2496

Properties of GCF 2494 and 2496

(i) The GCF of 2494 and 2496 is associative

GCF of 2494 and 2496 = GCF of 2496 and 2494

Related Greatest Common Factor of 2494

Related Greatest Common Factor of 2496

Frequently Asked Questions on GCF of 2494 and 2496

1. What is the GCF of 2494 and 2496?

Answer: GCF of 2494 and 2496 is 2.

2. What are the Factors of 2494?

Answer: Factors of 2494 are 1, 2, 29, 43, 58, 86, 1247, 2494. There are 8 integers that are factors of 2494. The greatest factor of 2494 is 2494.

3. 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.

4. How to Find the GCF of 2494 and 2496?

Answer:

Greatest Common Factor of 2494 and 2496 = 2

Step 1: Find the prime factorization of 2494

2494 = 2 x 29 x 43

Step 2: Find the prime factorization of 2496

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

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

GCF = 2

Step 4: Therefore, the greatest common factor of 2494 and 2496 is 2