Greatest Common Factor of 1498 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 1498, 1504 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1498 and 1504 is 2.

GCF(1498,1504) = 2

GCF of 1498 and 1504

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

GCF of:
and

Greatest Common Factor of 1498 and 1504

GCF of 1498 and 1504 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 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 1498 and 1504 is 2

Greatest Common Factor of 1498 and 1504 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 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 1498 and 1504. The biggest common factor number is the GCF number.
So the greatest common factor 1498 and 1504 is 2.

Also check out the Least Common Multiple of 1498 and 1504

Properties of GCF 1498 and 1504

(i) The GCF of 1498 and 1504 is associative

GCF of 1498 and 1504 = GCF of 1504 and 1498

Related Greatest Common Factor of 1498

Related Greatest Common Factor of 1504

Frequently Asked Questions on GCF of 1498 and 1504

1. What is the GCF of 1498 and 1504?

Answer: GCF of 1498 and 1504 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 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 1498 and 1504?

Answer:

Greatest Common Factor of 1498 and 1504 = 2

Step 1: Find the prime factorization of 1498

1498 = 2 x 7 x 107

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

Step 4: Therefore, the greatest common factor of 1498 and 1504 is 2