What is the Greatest Common Factor of 72645 and 72660?

Greatest common factor (GCF) of 72645 and 72660 is 15.

GCF(72645,72660) = 15

We will now calculate the prime factors of 72645 and 72660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72645 and 72660.

How to find the GCF of 72645 and 72660?

We will first find the prime factorization of 72645 and 72660. After we will calculate the factors of 72645 and 72660 and find the biggest common factor number .

Step-1: Prime Factorization of 72645

Prime factors of 72645 are 3, 5, 29, 167. Prime factorization of 72645 in exponential form is:

72645 = 3¹ × 5¹ × 29¹ × 167¹

Step-2: Prime Factorization of 72660

Prime factors of 72660 are 2, 3, 5, 7, 173. Prime factorization of 72660 in exponential form is:

72660 = 2² × 3¹ × 5¹ × 7¹ × 173¹

Step-3: Factors of 72645

List of positive integer factors of 72645 that divides 72645 without a remainder.

1, 3, 5, 15, 29, 87, 145, 167, 435, 501, 835, 2505, 4843, 14529, 24215

Step-4: Factors of 72660

List of positive integer factors of 72660 that divides 72645 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 173, 210, 346, 420, 519, 692, 865, 1038, 1211, 1730, 2076, 2422, 2595, 3460, 3633, 4844, 5190, 6055, 7266, 10380, 12110, 14532, 18165, 24220, 36330

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72645 and 72660. The biggest common factor number is the GCF number.
So the greatest common factor 72645 and 72660 is 15.

Also check out the Least Common Multiple of 72645 and 72660