What is the Greatest Common Factor of 64365 and 64380?

Greatest common factor (GCF) of 64365 and 64380 is 15.

GCF(64365,64380) = 15

We will now calculate the prime factors of 64365 and 64380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64365 and 64380.

How to find the GCF of 64365 and 64380?

We will first find the prime factorization of 64365 and 64380. After we will calculate the factors of 64365 and 64380 and find the biggest common factor number .

Step-1: Prime Factorization of 64365

Prime factors of 64365 are 3, 5, 7, 613. Prime factorization of 64365 in exponential form is:

64365 = 3¹ × 5¹ × 7¹ × 613¹

Step-2: Prime Factorization of 64380

Prime factors of 64380 are 2, 3, 5, 29, 37. Prime factorization of 64380 in exponential form is:

64380 = 2² × 3¹ × 5¹ × 29¹ × 37¹

Step-3: Factors of 64365

List of positive integer factors of 64365 that divides 64365 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 613, 1839, 3065, 4291, 9195, 12873, 21455

Step-4: Factors of 64380

List of positive integer factors of 64380 that divides 64365 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 37, 58, 60, 74, 87, 111, 116, 145, 148, 174, 185, 222, 290, 348, 370, 435, 444, 555, 580, 740, 870, 1073, 1110, 1740, 2146, 2220, 3219, 4292, 5365, 6438, 10730, 12876, 16095, 21460, 32190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64365 and 64380. The biggest common factor number is the GCF number.
So the greatest common factor 64365 and 64380 is 15.

Also check out the Least Common Multiple of 64365 and 64380