What is the Greatest Common Factor of 89289 and 89295?

Greatest common factor (GCF) of 89289 and 89295 is 3.

GCF(89289,89295) = 3

We will now calculate the prime factors of 89289 and 89295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89289 and 89295.

How to find the GCF of 89289 and 89295?

We will first find the prime factorization of 89289 and 89295. After we will calculate the factors of 89289 and 89295 and find the biggest common factor number .

Step-1: Prime Factorization of 89289

Prime factors of 89289 are 3, 3307. Prime factorization of 89289 in exponential form is:

89289 = 3³ × 3307¹

Step-2: Prime Factorization of 89295

Prime factors of 89295 are 3, 5, 5953. Prime factorization of 89295 in exponential form is:

89295 = 3¹ × 5¹ × 5953¹

Step-3: Factors of 89289

List of positive integer factors of 89289 that divides 89289 without a remainder.

1, 3, 9, 27, 3307, 9921, 29763

Step-4: Factors of 89295

List of positive integer factors of 89295 that divides 89289 without a remainder.

1, 3, 5, 15, 5953, 17859, 29765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89289 and 89295. The biggest common factor number is the GCF number.
So the greatest common factor 89289 and 89295 is 3.

Also check out the Least Common Multiple of 89289 and 89295