What is the Greatest Common Factor of 89568 and 89574?

Greatest common factor (GCF) of 89568 and 89574 is 6.

GCF(89568,89574) = 6

We will now calculate the prime factors of 89568 and 89574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89568 and 89574.

How to find the GCF of 89568 and 89574?

We will first find the prime factorization of 89568 and 89574. After we will calculate the factors of 89568 and 89574 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89574

Prime factors of 89574 are 2, 3, 14929. Prime factorization of 89574 in exponential form is:

89574 = 2¹ × 3¹ × 14929¹

Step-3: Factors of 89568

List of positive integer factors of 89568 that divides 89568 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

Step-4: Factors of 89574

List of positive integer factors of 89574 that divides 89568 without a remainder.

1, 2, 3, 6, 14929, 29858, 44787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89568 and 89574. The biggest common factor number is the GCF number.
So the greatest common factor 89568 and 89574 is 6.

Also check out the Least Common Multiple of 89568 and 89574