What is the Greatest Common Factor of 89872 and 89888?

Greatest common factor (GCF) of 89872 and 89888 is 16.

GCF(89872,89888) = 16

We will now calculate the prime factors of 89872 and 89888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89872 and 89888.

How to find the GCF of 89872 and 89888?

We will first find the prime factorization of 89872 and 89888. After we will calculate the factors of 89872 and 89888 and find the biggest common factor number .

Step-1: Prime Factorization of 89872

Prime factors of 89872 are 2, 41, 137. Prime factorization of 89872 in exponential form is:

89872 = 2⁴ × 41¹ × 137¹

Step-2: Prime Factorization of 89888

Prime factors of 89888 are 2, 53. Prime factorization of 89888 in exponential form is:

89888 = 2⁵ × 53²

Step-3: Factors of 89872

List of positive integer factors of 89872 that divides 89872 without a remainder.

1, 2, 4, 8, 16, 41, 82, 137, 164, 274, 328, 548, 656, 1096, 2192, 5617, 11234, 22468, 44936

Step-4: Factors of 89888

List of positive integer factors of 89888 that divides 89872 without a remainder.

1, 2, 4, 8, 16, 32, 53, 106, 212, 424, 848, 1696, 2809, 5618, 11236, 22472, 44944

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89872 and 89888. The biggest common factor number is the GCF number.
So the greatest common factor 89872 and 89888 is 16.

Also check out the Least Common Multiple of 89872 and 89888