What is the Greatest Common Factor of 79498 and 79506?

Greatest common factor (GCF) of 79498 and 79506 is 2.

GCF(79498,79506) = 2

We will now calculate the prime factors of 79498 and 79506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79498 and 79506.

How to find the GCF of 79498 and 79506?

We will first find the prime factorization of 79498 and 79506. After we will calculate the factors of 79498 and 79506 and find the biggest common factor number .

Step-1: Prime Factorization of 79498

Prime factors of 79498 are 2, 39749. Prime factorization of 79498 in exponential form is:

79498 = 2¹ × 39749¹

Step-2: Prime Factorization of 79506

Prime factors of 79506 are 2, 3, 7, 631. Prime factorization of 79506 in exponential form is:

79506 = 2¹ × 3² × 7¹ × 631¹

Step-3: Factors of 79498

List of positive integer factors of 79498 that divides 79498 without a remainder.

1, 2, 39749

Step-4: Factors of 79506

List of positive integer factors of 79506 that divides 79498 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 631, 1262, 1893, 3786, 4417, 5679, 8834, 11358, 13251, 26502, 39753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79498 and 79506. The biggest common factor number is the GCF number.
So the greatest common factor 79498 and 79506 is 2.

Also check out the Least Common Multiple of 79498 and 79506