What is the Greatest Common Factor of 99648 and 99658?

Greatest common factor (GCF) of 99648 and 99658 is 2.

GCF(99648,99658) = 2

We will now calculate the prime factors of 99648 and 99658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99648 and 99658.

How to find the GCF of 99648 and 99658?

We will first find the prime factorization of 99648 and 99658. After we will calculate the factors of 99648 and 99658 and find the biggest common factor number .

Step-1: Prime Factorization of 99648

Prime factors of 99648 are 2, 3, 173. Prime factorization of 99648 in exponential form is:

99648 = 2⁶ × 3² × 173¹

Step-2: Prime Factorization of 99658

Prime factors of 99658 are 2, 13, 3833. Prime factorization of 99658 in exponential form is:

99658 = 2¹ × 13¹ × 3833¹

Step-3: Factors of 99648

List of positive integer factors of 99648 that divides 99648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 173, 192, 288, 346, 519, 576, 692, 1038, 1384, 1557, 2076, 2768, 3114, 4152, 5536, 6228, 8304, 11072, 12456, 16608, 24912, 33216, 49824

Step-4: Factors of 99658

List of positive integer factors of 99658 that divides 99648 without a remainder.

1, 2, 13, 26, 3833, 7666, 49829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99648 and 99658. The biggest common factor number is the GCF number.
So the greatest common factor 99648 and 99658 is 2.

Also check out the Least Common Multiple of 99648 and 99658