What is the Greatest Common Factor of 99624 and 99634?

Greatest common factor (GCF) of 99624 and 99634 is 2.

GCF(99624,99634) = 2

We will now calculate the prime factors of 99624 and 99634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99624 and 99634.

How to find the GCF of 99624 and 99634?

We will first find the prime factorization of 99624 and 99634. After we will calculate the factors of 99624 and 99634 and find the biggest common factor number .

Step-1: Prime Factorization of 99624

Prime factors of 99624 are 2, 3, 7, 593. Prime factorization of 99624 in exponential form is:

99624 = 2³ × 3¹ × 7¹ × 593¹

Step-2: Prime Factorization of 99634

Prime factors of 99634 are 2, 31, 1607. Prime factorization of 99634 in exponential form is:

99634 = 2¹ × 31¹ × 1607¹

Step-3: Factors of 99624

List of positive integer factors of 99624 that divides 99624 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 593, 1186, 1779, 2372, 3558, 4151, 4744, 7116, 8302, 12453, 14232, 16604, 24906, 33208, 49812

Step-4: Factors of 99634

List of positive integer factors of 99634 that divides 99624 without a remainder.

1, 2, 31, 62, 1607, 3214, 49817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99624 and 99634. The biggest common factor number is the GCF number.
So the greatest common factor 99624 and 99634 is 2.

Also check out the Least Common Multiple of 99624 and 99634