Greatest Common Factor of 1492 and 1498

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, 1498 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1492 and 1498 is 2.

GCF(1492,1498) = 2

GCF of 1492 and 1498

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

GCF of:
and

Greatest Common Factor of 1492 and 1498

GCF of 1492 and 1498 is 2

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 1498


2 1498
7 749
107 107
1

Prime factors of 1498 are 2,7,107. Prime factorization of 1498 in exponential form is:

1498 = 21×71×1071

∴ So by taking common prime factors GCF of 1492 and 1498 is 2

Greatest Common Factor of 1492 and 1498 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 1498

List of positive integer factors of 1498 that divides 1498 without a remainder.

1,2,7,14,107,214,749,1498

Greatest Common Factor

We found the factors and prime factorization of 1492 and 1498. The biggest common factor number is the GCF number.
So the greatest common factor 1492 and 1498 is 2.

Also check out the Least Common Multiple of 1492 and 1498

Properties of GCF 1492 and 1498

(i) The GCF of 1492 and 1498 is associative

GCF of 1492 and 1498 = GCF of 1498 and 1492

Related Greatest Common Factor of 1492

Related Greatest Common Factor of 1498

Frequently Asked Questions on GCF of 1492 and 1498

1. What is the GCF of 1492 and 1498?

Answer: GCF of 1492 and 1498 is 2.

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 1498?

Answer: Factors of 1498 are 1, 2, 7, 14, 107, 214, 749, 1498. There are 8 integers that are factors of 1498. The greatest factor of 1498 is 1498.

4. How to Find the GCF of 1492 and 1498?

Answer:

Greatest Common Factor of 1492 and 1498 = 2

Step 1: Find the prime factorization of 1492

1492 = 2 x 2 x 373

Step 2: Find the prime factorization of 1498

1498 = 2 x 7 x 107

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 1492 and 1498 is 2