What is the Greatest Common Factor of 72156 and 72172?

Greatest common factor (GCF) of 72156 and 72172 is 4.

GCF(72156,72172) = 4

We will now calculate the prime factors of 72156 and 72172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72156 and 72172.

How to find the GCF of 72156 and 72172?

We will first find the prime factorization of 72156 and 72172. After we will calculate the factors of 72156 and 72172 and find the biggest common factor number .

Step-1: Prime Factorization of 72156

Prime factors of 72156 are 2, 3, 7, 859. Prime factorization of 72156 in exponential form is:

72156 = 2² × 3¹ × 7¹ × 859¹

Step-2: Prime Factorization of 72172

Prime factors of 72172 are 2, 18043. Prime factorization of 72172 in exponential form is:

72172 = 2² × 18043¹

Step-3: Factors of 72156

List of positive integer factors of 72156 that divides 72156 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 859, 1718, 2577, 3436, 5154, 6013, 10308, 12026, 18039, 24052, 36078

Step-4: Factors of 72172

List of positive integer factors of 72172 that divides 72156 without a remainder.

1, 2, 4, 18043, 36086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72156 and 72172. The biggest common factor number is the GCF number.
So the greatest common factor 72156 and 72172 is 4.

Also check out the Least Common Multiple of 72156 and 72172