What is the Greatest Common Factor of 99610 and 99624?

Greatest common factor (GCF) of 99610 and 99624 is 14.

GCF(99610,99624) = 14

We will now calculate the prime factors of 99610 and 99624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99610 and 99624.

How to find the GCF of 99610 and 99624?

We will first find the prime factorization of 99610 and 99624. After we will calculate the factors of 99610 and 99624 and find the biggest common factor number .

Step-1: Prime Factorization of 99610

Prime factors of 99610 are 2, 5, 7, 1423. Prime factorization of 99610 in exponential form is:

99610 = 2¹ × 5¹ × 7¹ × 1423¹

Step-2: 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-3: Factors of 99610

List of positive integer factors of 99610 that divides 99610 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1423, 2846, 7115, 9961, 14230, 19922, 49805

Step-4: Factors of 99624

List of positive integer factors of 99624 that divides 99610 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99610 and 99624. The biggest common factor number is the GCF number.
So the greatest common factor 99610 and 99624 is 14.

Also check out the Least Common Multiple of 99610 and 99624