Greatest Common Factor of 1498 and 1506

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, 1506 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1498 and 1506 is 2.

GCF(1498,1506) = 2

GCF of 1498 and 1506

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

GCF of:
and

Greatest Common Factor of 1498 and 1506

GCF of 1498 and 1506 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 1506


2 1506
3 753
251 251
1

Prime factors of 1506 are 2,3,251. Prime factorization of 1506 in exponential form is:

1506 = 21×31×2511

∴ So by taking common prime factors GCF of 1498 and 1506 is 2

Greatest Common Factor of 1498 and 1506 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 1506

List of positive integer factors of 1506 that divides 1506 without a remainder.

1,2,3,6,251,502,753,1506

Greatest Common Factor

We found the factors and prime factorization of 1498 and 1506. The biggest common factor number is the GCF number.
So the greatest common factor 1498 and 1506 is 2.

Also check out the Least Common Multiple of 1498 and 1506

Properties of GCF 1498 and 1506

(i) The GCF of 1498 and 1506 is associative

GCF of 1498 and 1506 = GCF of 1506 and 1498

Related Greatest Common Factor of 1498

Related Greatest Common Factor of 1506

Frequently Asked Questions on GCF of 1498 and 1506

1. What is the GCF of 1498 and 1506?

Answer: GCF of 1498 and 1506 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 1506?

Answer: Factors of 1506 are 1, 2, 3, 6, 251, 502, 753, 1506. There are 8 integers that are factors of 1506. The greatest factor of 1506 is 1506.

4. How to Find the GCF of 1498 and 1506?

Answer:

Greatest Common Factor of 1498 and 1506 = 2

Step 1: Find the prime factorization of 1498

1498 = 2 x 7 x 107

Step 2: Find the prime factorization of 1506

1506 = 2 x 3 x 251

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 1506 is 2