What is the Greatest Common Factor of 99948 and 99968?

Greatest common factor (GCF) of 99948 and 99968 is 4.

GCF(99948,99968) = 4

We will now calculate the prime factors of 99948 and 99968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99948 and 99968.

How to find the GCF of 99948 and 99968?

We will first find the prime factorization of 99948 and 99968. After we will calculate the factors of 99948 and 99968 and find the biggest common factor number .

Step-1: Prime Factorization of 99948

Prime factors of 99948 are 2, 3, 8329. Prime factorization of 99948 in exponential form is:

99948 = 2² × 3¹ × 8329¹

Step-2: Prime Factorization of 99968

Prime factors of 99968 are 2, 11, 71. Prime factorization of 99968 in exponential form is:

99968 = 2⁷ × 11¹ × 71¹

Step-3: Factors of 99948

List of positive integer factors of 99948 that divides 99948 without a remainder.

1, 2, 3, 4, 6, 12, 8329, 16658, 24987, 33316, 49974

Step-4: Factors of 99968

List of positive integer factors of 99968 that divides 99948 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 71, 88, 128, 142, 176, 284, 352, 568, 704, 781, 1136, 1408, 1562, 2272, 3124, 4544, 6248, 9088, 12496, 24992, 49984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99948 and 99968. The biggest common factor number is the GCF number.
So the greatest common factor 99948 and 99968 is 4.

Also check out the Least Common Multiple of 99948 and 99968