What is the Greatest Common Factor of 64065 and 64074?

Greatest common factor (GCF) of 64065 and 64074 is 3.

GCF(64065,64074) = 3

We will now calculate the prime factors of 64065 and 64074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64065 and 64074.

How to find the GCF of 64065 and 64074?

We will first find the prime factorization of 64065 and 64074. After we will calculate the factors of 64065 and 64074 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 64074

Prime factors of 64074 are 2, 3, 59, 181. Prime factorization of 64074 in exponential form is:

64074 = 2¹ × 3¹ × 59¹ × 181¹

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 64074

List of positive integer factors of 64074 that divides 64065 without a remainder.

1, 2, 3, 6, 59, 118, 177, 181, 354, 362, 543, 1086, 10679, 21358, 32037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64065 and 64074. The biggest common factor number is the GCF number.
So the greatest common factor 64065 and 64074 is 3.

Also check out the Least Common Multiple of 64065 and 64074