What is the Greatest Common Factor of 64650 and 64665?

Greatest common factor (GCF) of 64650 and 64665 is 15.

GCF(64650,64665) = 15

We will now calculate the prime factors of 64650 and 64665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64650 and 64665.

How to find the GCF of 64650 and 64665?

We will first find the prime factorization of 64650 and 64665. After we will calculate the factors of 64650 and 64665 and find the biggest common factor number .

Step-1: Prime Factorization of 64650

Prime factors of 64650 are 2, 3, 5, 431. Prime factorization of 64650 in exponential form is:

64650 = 2¹ × 3¹ × 5² × 431¹

Step-2: Prime Factorization of 64665

Prime factors of 64665 are 3, 5, 479. Prime factorization of 64665 in exponential form is:

64665 = 3³ × 5¹ × 479¹

Step-3: Factors of 64650

List of positive integer factors of 64650 that divides 64650 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 431, 862, 1293, 2155, 2586, 4310, 6465, 10775, 12930, 21550, 32325

Step-4: Factors of 64665

List of positive integer factors of 64665 that divides 64650 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 479, 1437, 2395, 4311, 7185, 12933, 21555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64650 and 64665. The biggest common factor number is the GCF number.
So the greatest common factor 64650 and 64665 is 15.

Also check out the Least Common Multiple of 64650 and 64665