What is the Greatest Common Factor of 99954 and 99962?

Greatest common factor (GCF) of 99954 and 99962 is 2.

GCF(99954,99962) = 2

We will now calculate the prime factors of 99954 and 99962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99954 and 99962.

How to find the GCF of 99954 and 99962?

We will first find the prime factorization of 99954 and 99962. After we will calculate the factors of 99954 and 99962 and find the biggest common factor number .

Step-1: Prime Factorization of 99954

Prime factors of 99954 are 2, 3, 617. Prime factorization of 99954 in exponential form is:

99954 = 2¹ × 3⁴ × 617¹

Step-2: Prime Factorization of 99962

Prime factors of 99962 are 2, 151, 331. Prime factorization of 99962 in exponential form is:

99962 = 2¹ × 151¹ × 331¹

Step-3: Factors of 99954

List of positive integer factors of 99954 that divides 99954 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 617, 1234, 1851, 3702, 5553, 11106, 16659, 33318, 49977

Step-4: Factors of 99962

List of positive integer factors of 99962 that divides 99954 without a remainder.

1, 2, 151, 302, 331, 662, 49981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99954 and 99962. The biggest common factor number is the GCF number.
So the greatest common factor 99954 and 99962 is 2.

Also check out the Least Common Multiple of 99954 and 99962