Greatest Common Factor of 1498 and 1502

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 1498, 1502 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1498 and 1502 is 2.

GCF(1498,1502) = 2

GCF of 1498 and 1502

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

GCF of:
and

Greatest Common Factor of 1498 and 1502

GCF of 1498 and 1502 is 2

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

Prime Factorization of 1502


2 1502
751 751
1

Prime factors of 1502 are 2,751. Prime factorization of 1502 in exponential form is:

1502 = 21×7511

∴ So by taking common prime factors GCF of 1498 and 1502 is 2

Greatest Common Factor of 1498 and 1502 by matching factors method

Factors of 1498

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

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

Factors of 1502

List of positive integer factors of 1502 that divides 1502 without a remainder.

1,2,751,1502

Greatest Common Factor

We found the factors and prime factorization of 1498 and 1502. The biggest common factor number is the GCF number.
So the greatest common factor 1498 and 1502 is 2.

Also check out the Least Common Multiple of 1498 and 1502

Properties of GCF 1498 and 1502

(i) The GCF of 1498 and 1502 is associative

GCF of 1498 and 1502 = GCF of 1502 and 1498

Related Greatest Common Factor of 1498

Related Greatest Common Factor of 1502

Frequently Asked Questions on GCF of 1498 and 1502

1. What is the GCF of 1498 and 1502?

Answer: GCF of 1498 and 1502 is 2.

2. 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.

3. What are the Factors of 1502?

Answer: Factors of 1502 are 1, 2, 751, 1502. There are 4 integers that are factors of 1502. The greatest factor of 1502 is 1502.

4. How to Find the GCF of 1498 and 1502?

Answer:

Greatest Common Factor of 1498 and 1502 = 2

Step 1: Find the prime factorization of 1498

1498 = 2 x 7 x 107

Step 2: Find the prime factorization of 1502

1502 = 2 x 751

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 1498 and 1502 is 2