What is the Greatest Common Factor of 99968 and 99974?

Greatest common factor (GCF) of 99968 and 99974 is 2.

GCF(99968,99974) = 2

We will now calculate the prime factors of 99968 and 99974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99968 and 99974.

How to find the GCF of 99968 and 99974?

We will first find the prime factorization of 99968 and 99974. After we will calculate the factors of 99968 and 99974 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99974

Prime factors of 99974 are 2, 7, 37, 193. Prime factorization of 99974 in exponential form is:

99974 = 2¹ × 7¹ × 37¹ × 193¹

Step-3: Factors of 99968

List of positive integer factors of 99968 that divides 99968 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

Step-4: Factors of 99974

List of positive integer factors of 99974 that divides 99968 without a remainder.

1, 2, 7, 14, 37, 74, 193, 259, 386, 518, 1351, 2702, 7141, 14282, 49987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99968 and 99974. The biggest common factor number is the GCF number.
So the greatest common factor 99968 and 99974 is 2.

Also check out the Least Common Multiple of 99968 and 99974