What is the Greatest Common Factor of 99492 and 99501?

Greatest common factor (GCF) of 99492 and 99501 is 3.

GCF(99492,99501) = 3

We will now calculate the prime factors of 99492 and 99501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99492 and 99501.

How to find the GCF of 99492 and 99501?

We will first find the prime factorization of 99492 and 99501. After we will calculate the factors of 99492 and 99501 and find the biggest common factor number .

Step-1: Prime Factorization of 99492

Prime factors of 99492 are 2, 3, 8291. Prime factorization of 99492 in exponential form is:

99492 = 2² × 3¹ × 8291¹

Step-2: Prime Factorization of 99501

Prime factors of 99501 are 3, 17, 1951. Prime factorization of 99501 in exponential form is:

99501 = 3¹ × 17¹ × 1951¹

Step-3: Factors of 99492

List of positive integer factors of 99492 that divides 99492 without a remainder.

1, 2, 3, 4, 6, 12, 8291, 16582, 24873, 33164, 49746

Step-4: Factors of 99501

List of positive integer factors of 99501 that divides 99492 without a remainder.

1, 3, 17, 51, 1951, 5853, 33167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99492 and 99501. The biggest common factor number is the GCF number.
So the greatest common factor 99492 and 99501 is 3.

Also check out the Least Common Multiple of 99492 and 99501