What is the Greatest Common Factor of 98605 and 98624?

Greatest common factor (GCF) of 98605 and 98624 is 1.

GCF(98605,98624) = 1

We will now calculate the prime factors of 98605 and 98624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98605 and 98624.

How to find the GCF of 98605 and 98624?

We will first find the prime factorization of 98605 and 98624. After we will calculate the factors of 98605 and 98624 and find the biggest common factor number .

Step-1: Prime Factorization of 98605

Prime factors of 98605 are 5, 13, 37, 41. Prime factorization of 98605 in exponential form is:

98605 = 5¹ × 13¹ × 37¹ × 41¹

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 98605

List of positive integer factors of 98605 that divides 98605 without a remainder.

1, 5, 13, 37, 41, 65, 185, 205, 481, 533, 1517, 2405, 2665, 7585, 19721

Step-4: Factors of 98624

List of positive integer factors of 98624 that divides 98605 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 98605 and 98624. The biggest common factor number is the GCF number.
So the greatest common factor 98605 and 98624 is 1.

Also check out the Least Common Multiple of 98605 and 98624