What is the Greatest Common Factor of 99624 and 99638?

Greatest common factor (GCF) of 99624 and 99638 is 14.

GCF(99624,99638) = 14

We will now calculate the prime factors of 99624 and 99638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99624 and 99638.

How to find the GCF of 99624 and 99638?

We will first find the prime factorization of 99624 and 99638. After we will calculate the factors of 99624 and 99638 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 99638

Prime factors of 99638 are 2, 7, 11, 647. Prime factorization of 99638 in exponential form is:

99638 = 2¹ × 7¹ × 11¹ × 647¹

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 99638

List of positive integer factors of 99638 that divides 99624 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 647, 1294, 4529, 7117, 9058, 14234, 49819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99624 and 99638. The biggest common factor number is the GCF number.
So the greatest common factor 99624 and 99638 is 14.

Also check out the Least Common Multiple of 99624 and 99638