What is the Greatest Common Factor of 98616 and 98624?

Greatest common factor (GCF) of 98616 and 98624 is 8.

GCF(98616,98624) = 8

We will now calculate the prime factors of 98616 and 98624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98616 and 98624.

How to find the GCF of 98616 and 98624?

We will first find the prime factorization of 98616 and 98624. After we will calculate the factors of 98616 and 98624 and find the biggest common factor number .

Step-1: Prime Factorization of 98616

Prime factors of 98616 are 2, 3, 7, 587. Prime factorization of 98616 in exponential form is:

98616 = 2³ × 3¹ × 7¹ × 587¹

Step-2: Prime Factorization of 98624

Prime factors of 98624 are 2, 23, 67. Prime factorization of 98624 in exponential form is:

98624 = 2⁶ × 23¹ × 67¹

Step-3: Factors of 98616

List of positive integer factors of 98616 that divides 98616 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 587, 1174, 1761, 2348, 3522, 4109, 4696, 7044, 8218, 12327, 14088, 16436, 24654, 32872, 49308

Step-4: Factors of 98624

List of positive integer factors of 98624 that divides 98616 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 64, 67, 92, 134, 184, 268, 368, 536, 736, 1072, 1472, 1541, 2144, 3082, 4288, 6164, 12328, 24656, 49312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98616 and 98624. The biggest common factor number is the GCF number.
So the greatest common factor 98616 and 98624 is 8.

Also check out the Least Common Multiple of 98616 and 98624