What is the Greatest Common Factor of 98564 and 98568?

Greatest common factor (GCF) of 98564 and 98568 is 4.

GCF(98564,98568) = 4

We will now calculate the prime factors of 98564 and 98568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98564 and 98568.

How to find the GCF of 98564 and 98568?

We will first find the prime factorization of 98564 and 98568. After we will calculate the factors of 98564 and 98568 and find the biggest common factor number .

Step-1: Prime Factorization of 98564

Prime factors of 98564 are 2, 41, 601. Prime factorization of 98564 in exponential form is:

98564 = 2² × 41¹ × 601¹

Step-2: Prime Factorization of 98568

Prime factors of 98568 are 2, 3, 37. Prime factorization of 98568 in exponential form is:

98568 = 2³ × 3² × 37²

Step-3: Factors of 98564

List of positive integer factors of 98564 that divides 98564 without a remainder.

1, 2, 4, 41, 82, 164, 601, 1202, 2404, 24641, 49282

Step-4: Factors of 98568

List of positive integer factors of 98568 that divides 98564 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 37, 72, 74, 111, 148, 222, 296, 333, 444, 666, 888, 1332, 1369, 2664, 2738, 4107, 5476, 8214, 10952, 12321, 16428, 24642, 32856, 49284

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98564 and 98568. The biggest common factor number is the GCF number.
So the greatest common factor 98564 and 98568 is 4.

Also check out the Least Common Multiple of 98564 and 98568