What is the Greatest Common Factor of 98624 and 98639?

Greatest common factor (GCF) of 98624 and 98639 is 1.

GCF(98624,98639) = 1

We will now calculate the prime factors of 98624 and 98639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98624 and 98639.

How to find the GCF of 98624 and 98639?

We will first find the prime factorization of 98624 and 98639. After we will calculate the factors of 98624 and 98639 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98639

Prime factors of 98639 are 98639. Prime factorization of 98639 in exponential form is:

98639 = 98639¹

Step-3: Factors of 98624

List of positive integer factors of 98624 that divides 98624 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

Step-4: Factors of 98639

List of positive integer factors of 98639 that divides 98624 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98624 and 98639. The biggest common factor number is the GCF number.
So the greatest common factor 98624 and 98639 is 1.

Also check out the Least Common Multiple of 98624 and 98639