What is the Greatest Common Factor of 89888 and 89904?

Greatest common factor (GCF) of 89888 and 89904 is 16.

GCF(89888,89904) = 16

We will now calculate the prime factors of 89888 and 89904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89888 and 89904.

How to find the GCF of 89888 and 89904?

We will first find the prime factorization of 89888 and 89904. After we will calculate the factors of 89888 and 89904 and find the biggest common factor number .

Step-1: Prime Factorization of 89888

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

89888 = 2⁵ × 53²

Step-2: Prime Factorization of 89904

Prime factors of 89904 are 2, 3, 1873. Prime factorization of 89904 in exponential form is:

89904 = 2⁴ × 3¹ × 1873¹

Step-3: Factors of 89888

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

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

Step-4: Factors of 89904

List of positive integer factors of 89904 that divides 89888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1873, 3746, 5619, 7492, 11238, 14984, 22476, 29968, 44952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89888 and 89904. The biggest common factor number is the GCF number.
So the greatest common factor 89888 and 89904 is 16.

Also check out the Least Common Multiple of 89888 and 89904