What is the Greatest Common Factor of 89260 and 89265?

Greatest common factor (GCF) of 89260 and 89265 is 5.

GCF(89260,89265) = 5

We will now calculate the prime factors of 89260 and 89265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89260 and 89265.

How to find the GCF of 89260 and 89265?

We will first find the prime factorization of 89260 and 89265. After we will calculate the factors of 89260 and 89265 and find the biggest common factor number .

Step-1: Prime Factorization of 89260

Prime factors of 89260 are 2, 5, 4463. Prime factorization of 89260 in exponential form is:

89260 = 2² × 5¹ × 4463¹

Step-2: Prime Factorization of 89265

Prime factors of 89265 are 3, 5, 11, 541. Prime factorization of 89265 in exponential form is:

89265 = 3¹ × 5¹ × 11¹ × 541¹

Step-3: Factors of 89260

List of positive integer factors of 89260 that divides 89260 without a remainder.

1, 2, 4, 5, 10, 20, 4463, 8926, 17852, 22315, 44630

Step-4: Factors of 89265

List of positive integer factors of 89265 that divides 89260 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 541, 1623, 2705, 5951, 8115, 17853, 29755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89260 and 89265. The biggest common factor number is the GCF number.
So the greatest common factor 89260 and 89265 is 5.

Also check out the Least Common Multiple of 89260 and 89265