What is the Greatest Common Factor of 64065 and 64075?

Greatest common factor (GCF) of 64065 and 64075 is 5.

GCF(64065,64075) = 5

We will now calculate the prime factors of 64065 and 64075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64065 and 64075.

How to find the GCF of 64065 and 64075?

We will first find the prime factorization of 64065 and 64075. After we will calculate the factors of 64065 and 64075 and find the biggest common factor number .

Step-1: Prime Factorization of 64065

Prime factors of 64065 are 3, 5, 4271. Prime factorization of 64065 in exponential form is:

64065 = 3¹ × 5¹ × 4271¹

Step-2: Prime Factorization of 64075

Prime factors of 64075 are 5, 11, 233. Prime factorization of 64075 in exponential form is:

64075 = 5² × 11¹ × 233¹

Step-3: Factors of 64065

List of positive integer factors of 64065 that divides 64065 without a remainder.

1, 3, 5, 15, 4271, 12813, 21355

Step-4: Factors of 64075

List of positive integer factors of 64075 that divides 64065 without a remainder.

1, 5, 11, 25, 55, 233, 275, 1165, 2563, 5825, 12815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64065 and 64075. The biggest common factor number is the GCF number.
So the greatest common factor 64065 and 64075 is 5.

Also check out the Least Common Multiple of 64065 and 64075