What is the Greatest Common Factor of 99974 and 99982?

Greatest common factor (GCF) of 99974 and 99982 is 2.

GCF(99974,99982) = 2

We will now calculate the prime factors of 99974 and 99982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99974 and 99982.

How to find the GCF of 99974 and 99982?

We will first find the prime factorization of 99974 and 99982. After we will calculate the factors of 99974 and 99982 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99982

Prime factors of 99982 are 2, 49991. Prime factorization of 99982 in exponential form is:

99982 = 2¹ × 49991¹

Step-3: Factors of 99974

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

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

Step-4: Factors of 99982

List of positive integer factors of 99982 that divides 99974 without a remainder.

1, 2, 49991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99974 and 99982. The biggest common factor number is the GCF number.
So the greatest common factor 99974 and 99982 is 2.

Also check out the Least Common Multiple of 99974 and 99982