What is the Greatest Common Factor of 98608 and 98624?

Greatest common factor (GCF) of 98608 and 98624 is 16.

GCF(98608,98624) = 16

We will now calculate the prime factors of 98608 and 98624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98608 and 98624.

How to find the GCF of 98608 and 98624?

We will first find the prime factorization of 98608 and 98624. After we will calculate the factors of 98608 and 98624 and find the biggest common factor number .

Step-1: Prime Factorization of 98608

Prime factors of 98608 are 2, 6163. Prime factorization of 98608 in exponential form is:

98608 = 2⁴ × 6163¹

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 98608

List of positive integer factors of 98608 that divides 98608 without a remainder.

1, 2, 4, 8, 16, 6163, 12326, 24652, 49304

Step-4: Factors of 98624

List of positive integer factors of 98624 that divides 98608 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 98608 and 98624. The biggest common factor number is the GCF number.
So the greatest common factor 98608 and 98624 is 16.

Also check out the Least Common Multiple of 98608 and 98624