What is the Greatest Common Factor of 89456 and 89472?

Greatest common factor (GCF) of 89456 and 89472 is 16.

GCF(89456,89472) = 16

We will now calculate the prime factors of 89456 and 89472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89456 and 89472.

How to find the GCF of 89456 and 89472?

We will first find the prime factorization of 89456 and 89472. After we will calculate the factors of 89456 and 89472 and find the biggest common factor number .

Step-1: Prime Factorization of 89456

Prime factors of 89456 are 2, 5591. Prime factorization of 89456 in exponential form is:

89456 = 2⁴ × 5591¹

Step-2: Prime Factorization of 89472

Prime factors of 89472 are 2, 3, 233. Prime factorization of 89472 in exponential form is:

89472 = 2⁷ × 3¹ × 233¹

Step-3: Factors of 89456

List of positive integer factors of 89456 that divides 89456 without a remainder.

1, 2, 4, 8, 16, 5591, 11182, 22364, 44728

Step-4: Factors of 89472

List of positive integer factors of 89472 that divides 89456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 233, 384, 466, 699, 932, 1398, 1864, 2796, 3728, 5592, 7456, 11184, 14912, 22368, 29824, 44736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89456 and 89472. The biggest common factor number is the GCF number.
So the greatest common factor 89456 and 89472 is 16.

Also check out the Least Common Multiple of 89456 and 89472