What is the Greatest Common Factor of 89295 and 89305?

Greatest common factor (GCF) of 89295 and 89305 is 5.

GCF(89295,89305) = 5

We will now calculate the prime factors of 89295 and 89305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89295 and 89305.

How to find the GCF of 89295 and 89305?

We will first find the prime factorization of 89295 and 89305. After we will calculate the factors of 89295 and 89305 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89305

Prime factors of 89305 are 5, 53, 337. Prime factorization of 89305 in exponential form is:

89305 = 5¹ × 53¹ × 337¹

Step-3: Factors of 89295

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

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

Step-4: Factors of 89305

List of positive integer factors of 89305 that divides 89295 without a remainder.

1, 5, 53, 265, 337, 1685, 17861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89295 and 89305. The biggest common factor number is the GCF number.
So the greatest common factor 89295 and 89305 is 5.

Also check out the Least Common Multiple of 89295 and 89305