What is the Greatest Common Factor of 99974 and 99984?

Greatest common factor (GCF) of 99974 and 99984 is 2.

GCF(99974,99984) = 2

We will now calculate the prime factors of 99974 and 99984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99974 and 99984.

How to find the GCF of 99974 and 99984?

We will first find the prime factorization of 99974 and 99984. After we will calculate the factors of 99974 and 99984 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 99984

Prime factors of 99984 are 2, 3, 2083. Prime factorization of 99984 in exponential form is:

99984 = 2⁴ × 3¹ × 2083¹

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 99984

List of positive integer factors of 99984 that divides 99974 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 2083, 4166, 6249, 8332, 12498, 16664, 24996, 33328, 49992

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99974 and 99984. The biggest common factor number is the GCF number.
So the greatest common factor 99974 and 99984 is 2.

Also check out the Least Common Multiple of 99974 and 99984