What is the Greatest Common Factor of 72646 and 72660?

Greatest common factor (GCF) of 72646 and 72660 is 14.

GCF(72646,72660) = 14

We will now calculate the prime factors of 72646 and 72660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72646 and 72660.

How to find the GCF of 72646 and 72660?

We will first find the prime factorization of 72646 and 72660. After we will calculate the factors of 72646 and 72660 and find the biggest common factor number .

Step-1: Prime Factorization of 72646

Prime factors of 72646 are 2, 7, 5189. Prime factorization of 72646 in exponential form is:

72646 = 2¹ × 7¹ × 5189¹

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 72646

List of positive integer factors of 72646 that divides 72646 without a remainder.

1, 2, 7, 14, 5189, 10378, 36323

Step-4: Factors of 72660

List of positive integer factors of 72660 that divides 72646 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 72646 and 72660. The biggest common factor number is the GCF number.
So the greatest common factor 72646 and 72660 is 14.

Also check out the Least Common Multiple of 72646 and 72660