What is the Greatest Common Factor of 89616 and 89625?

Greatest common factor (GCF) of 89616 and 89625 is 3.

GCF(89616,89625) = 3

We will now calculate the prime factors of 89616 and 89625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89616 and 89625.

How to find the GCF of 89616 and 89625?

We will first find the prime factorization of 89616 and 89625. After we will calculate the factors of 89616 and 89625 and find the biggest common factor number .

Step-1: Prime Factorization of 89616

Prime factors of 89616 are 2, 3, 1867. Prime factorization of 89616 in exponential form is:

89616 = 2⁴ × 3¹ × 1867¹

Step-2: Prime Factorization of 89625

Prime factors of 89625 are 3, 5, 239. Prime factorization of 89625 in exponential form is:

89625 = 3¹ × 5³ × 239¹

Step-3: Factors of 89616

List of positive integer factors of 89616 that divides 89616 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1867, 3734, 5601, 7468, 11202, 14936, 22404, 29872, 44808

Step-4: Factors of 89625

List of positive integer factors of 89625 that divides 89616 without a remainder.

1, 3, 5, 15, 25, 75, 125, 239, 375, 717, 1195, 3585, 5975, 17925, 29875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89616 and 89625. The biggest common factor number is the GCF number.
So the greatest common factor 89616 and 89625 is 3.

Also check out the Least Common Multiple of 89616 and 89625