Greatest Common Factor of 1492 and 1496

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 1492, 1496 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1492 and 1496 is 4.

GCF(1492,1496) = 4

GCF of 1492 and 1496

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

GCF of:
and

Greatest Common Factor of 1492 and 1496

GCF of 1492 and 1496 is 4

Prime Factorization of 1492


2 1492
2 746
373 373
1

Prime factors of 1492 are 2,373. Prime factorization of 1492 in exponential form is:

1492 = 22×3731

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

∴ So by taking common prime factors GCF of 1492 and 1496 is 4

Greatest Common Factor of 1492 and 1496 by matching factors method

Factors of 1492

List of positive integer factors of 1492 that divides 1492 without a remainder.

1,2,4,373,746,1492

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

Greatest Common Factor

We found the factors and prime factorization of 1492 and 1496. The biggest common factor number is the GCF number.
So the greatest common factor 1492 and 1496 is 4.

Also check out the Least Common Multiple of 1492 and 1496

Properties of GCF 1492 and 1496

(i) The GCF of 1492 and 1496 is associative

GCF of 1492 and 1496 = GCF of 1496 and 1492

Related Greatest Common Factor of 1492

Related Greatest Common Factor of 1496

Frequently Asked Questions on GCF of 1492 and 1496

1. What is the GCF of 1492 and 1496?

Answer: GCF of 1492 and 1496 is 4.

2. What are the Factors of 1492?

Answer: Factors of 1492 are 1, 2, 4, 373, 746, 1492. There are 6 integers that are factors of 1492. The greatest factor of 1492 is 1492.

3. 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.

4. How to Find the GCF of 1492 and 1496?

Answer:

Greatest Common Factor of 1492 and 1496 = 4

Step 1: Find the prime factorization of 1492

1492 = 2 x 2 x 373

Step 2: Find the prime factorization of 1496

1496 = 2 x 2 x 2 x 11 x 17

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1492 and 1496 is 4