Greatest Common Factor of 1496 and 1504

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 1496, 1504 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1496 and 1504 is 8.

GCF(1496,1504) = 8

GCF of 1496 and 1504

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

GCF of:
and

Greatest Common Factor of 1496 and 1504

GCF of 1496 and 1504 is 8

Prime Factorization of 1496


2 1496
2 748
2 374
11 187
17 17
1

Prime factors of 1496 are 2,11,17. Prime factorization of 1496 in exponential form is:

1496 = 23×111×171

Prime Factorization of 1504


2 1504
2 752
2 376
2 188
2 94
47 47
1

Prime factors of 1504 are 2,47. Prime factorization of 1504 in exponential form is:

1504 = 25×471

∴ So by taking common prime factors GCF of 1496 and 1504 is 8

Greatest Common Factor of 1496 and 1504 by matching factors method

Factors of 1496

List of positive integer factors of 1496 that divides 1496 without a remainder.

1,2,4,8,11,17,22,34,44,68,88,136,187,374,748,1496

Factors of 1504

List of positive integer factors of 1504 that divides 1504 without a remainder.

1,2,4,8,16,32,47,94,188,376,752,1504

Greatest Common Factor

We found the factors and prime factorization of 1496 and 1504. The biggest common factor number is the GCF number.
So the greatest common factor 1496 and 1504 is 8.

Also check out the Least Common Multiple of 1496 and 1504

Properties of GCF 1496 and 1504

(i) The GCF of 1496 and 1504 is associative

GCF of 1496 and 1504 = GCF of 1504 and 1496

Related Greatest Common Factor of 1496

Related Greatest Common Factor of 1504

Frequently Asked Questions on GCF of 1496 and 1504

1. What is the GCF of 1496 and 1504?

Answer: GCF of 1496 and 1504 is 8.

2. What are the Factors of 1496?

Answer: Factors of 1496 are 1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 136, 187, 374, 748, 1496. There are 16 integers that are factors of 1496. The greatest factor of 1496 is 1496.

3. What are the Factors of 1504?

Answer: Factors of 1504 are 1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504. There are 12 integers that are factors of 1504. The greatest factor of 1504 is 1504.

4. How to Find the GCF of 1496 and 1504?

Answer:

Greatest Common Factor of 1496 and 1504 = 8

Step 1: Find the prime factorization of 1496

1496 = 2 x 2 x 2 x 11 x 17

Step 2: Find the prime factorization of 1504

1504 = 2 x 2 x 2 x 2 x 2 x 47

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 1496 and 1504 is 8