What is the Greatest Common Factor of 64065 and 64080?

Greatest common factor (GCF) of 64065 and 64080 is 15.

GCF(64065,64080) = 15

We will now calculate the prime factors of 64065 and 64080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64065 and 64080.

How to find the GCF of 64065 and 64080?

We will first find the prime factorization of 64065 and 64080. After we will calculate the factors of 64065 and 64080 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 64080

Prime factors of 64080 are 2, 3, 5, 89. Prime factorization of 64080 in exponential form is:

64080 = 2⁴ × 3² × 5¹ × 89¹

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 64080

List of positive integer factors of 64080 that divides 64065 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 89, 90, 120, 144, 178, 180, 240, 267, 356, 360, 445, 534, 712, 720, 801, 890, 1068, 1335, 1424, 1602, 1780, 2136, 2670, 3204, 3560, 4005, 4272, 5340, 6408, 7120, 8010, 10680, 12816, 16020, 21360, 32040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64065 and 64080. The biggest common factor number is the GCF number.
So the greatest common factor 64065 and 64080 is 15.

Also check out the Least Common Multiple of 64065 and 64080