What is the Greatest Common Factor of 99928 and 99942?

Greatest common factor (GCF) of 99928 and 99942 is 2.

GCF(99928,99942) = 2

We will now calculate the prime factors of 99928 and 99942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99928 and 99942.

How to find the GCF of 99928 and 99942?

We will first find the prime factorization of 99928 and 99942. After we will calculate the factors of 99928 and 99942 and find the biggest common factor number .

Step-1: Prime Factorization of 99928

Prime factors of 99928 are 2, 12491. Prime factorization of 99928 in exponential form is:

99928 = 2³ × 12491¹

Step-2: Prime Factorization of 99942

Prime factors of 99942 are 2, 3, 16657. Prime factorization of 99942 in exponential form is:

99942 = 2¹ × 3¹ × 16657¹

Step-3: Factors of 99928

List of positive integer factors of 99928 that divides 99928 without a remainder.

1, 2, 4, 8, 12491, 24982, 49964

Step-4: Factors of 99942

List of positive integer factors of 99942 that divides 99928 without a remainder.

1, 2, 3, 6, 16657, 33314, 49971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99928 and 99942. The biggest common factor number is the GCF number.
So the greatest common factor 99928 and 99942 is 2.

Also check out the Least Common Multiple of 99928 and 99942