What is the Greatest Common Factor of 99624 and 99629?

Greatest common factor (GCF) of 99624 and 99629 is 1.

GCF(99624,99629) = 1

We will now calculate the prime factors of 99624 and 99629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99624 and 99629.

How to find the GCF of 99624 and 99629?

We will first find the prime factorization of 99624 and 99629. After we will calculate the factors of 99624 and 99629 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 99629

Prime factors of 99629 are 67, 1487. Prime factorization of 99629 in exponential form is:

99629 = 67¹ × 1487¹

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 99629

List of positive integer factors of 99629 that divides 99624 without a remainder.

1, 67, 1487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99624 and 99629. The biggest common factor number is the GCF number.
So the greatest common factor 99624 and 99629 is 1.

Also check out the Least Common Multiple of 99624 and 99629