What is the Greatest Common Factor of 99942 and 99951?

Greatest common factor (GCF) of 99942 and 99951 is 3.

GCF(99942,99951) = 3

We will now calculate the prime factors of 99942 and 99951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99942 and 99951.

How to find the GCF of 99942 and 99951?

We will first find the prime factorization of 99942 and 99951. After we will calculate the factors of 99942 and 99951 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99951

Prime factors of 99951 are 3, 33317. Prime factorization of 99951 in exponential form is:

99951 = 3¹ × 33317¹

Step-3: Factors of 99942

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

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

Step-4: Factors of 99951

List of positive integer factors of 99951 that divides 99942 without a remainder.

1, 3, 33317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99942 and 99951. The biggest common factor number is the GCF number.
So the greatest common factor 99942 and 99951 is 3.

Also check out the Least Common Multiple of 99942 and 99951