What is the Greatest Common Factor of 89465 and 89475?

Greatest common factor (GCF) of 89465 and 89475 is 5.

GCF(89465,89475) = 5

We will now calculate the prime factors of 89465 and 89475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89465 and 89475.

How to find the GCF of 89465 and 89475?

We will first find the prime factorization of 89465 and 89475. After we will calculate the factors of 89465 and 89475 and find the biggest common factor number .

Step-1: Prime Factorization of 89465

Prime factors of 89465 are 5, 29, 617. Prime factorization of 89465 in exponential form is:

89465 = 5¹ × 29¹ × 617¹

Step-2: Prime Factorization of 89475

Prime factors of 89475 are 3, 5, 1193. Prime factorization of 89475 in exponential form is:

89475 = 3¹ × 5² × 1193¹

Step-3: Factors of 89465

List of positive integer factors of 89465 that divides 89465 without a remainder.

1, 5, 29, 145, 617, 3085, 17893

Step-4: Factors of 89475

List of positive integer factors of 89475 that divides 89465 without a remainder.

1, 3, 5, 15, 25, 75, 1193, 3579, 5965, 17895, 29825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89465 and 89475. The biggest common factor number is the GCF number.
So the greatest common factor 89465 and 89475 is 5.

Also check out the Least Common Multiple of 89465 and 89475