What is the Greatest Common Factor of 89564 and 89568?

Greatest common factor (GCF) of 89564 and 89568 is 4.

GCF(89564,89568) = 4

We will now calculate the prime factors of 89564 and 89568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89564 and 89568.

How to find the GCF of 89564 and 89568?

We will first find the prime factorization of 89564 and 89568. After we will calculate the factors of 89564 and 89568 and find the biggest common factor number .

Step-1: Prime Factorization of 89564

Prime factors of 89564 are 2, 22391. Prime factorization of 89564 in exponential form is:

89564 = 2² × 22391¹

Step-2: Prime Factorization of 89568

Prime factors of 89568 are 2, 3, 311. Prime factorization of 89568 in exponential form is:

89568 = 2⁵ × 3² × 311¹

Step-3: Factors of 89564

List of positive integer factors of 89564 that divides 89564 without a remainder.

1, 2, 4, 22391, 44782

Step-4: Factors of 89568

List of positive integer factors of 89568 that divides 89564 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288, 311, 622, 933, 1244, 1866, 2488, 2799, 3732, 4976, 5598, 7464, 9952, 11196, 14928, 22392, 29856, 44784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89564 and 89568. The biggest common factor number is the GCF number.
So the greatest common factor 89564 and 89568 is 4.

Also check out the Least Common Multiple of 89564 and 89568