What is the Greatest Common Factor of 72156 and 72166?

Greatest common factor (GCF) of 72156 and 72166 is 2.

GCF(72156,72166) = 2

We will now calculate the prime factors of 72156 and 72166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72156 and 72166.

How to find the GCF of 72156 and 72166?

We will first find the prime factorization of 72156 and 72166. After we will calculate the factors of 72156 and 72166 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 72166

Prime factors of 72166 are 2, 36083. Prime factorization of 72166 in exponential form is:

72166 = 2¹ × 36083¹

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 72166

List of positive integer factors of 72166 that divides 72156 without a remainder.

1, 2, 36083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72156 and 72166. The biggest common factor number is the GCF number.
So the greatest common factor 72156 and 72166 is 2.

Also check out the Least Common Multiple of 72156 and 72166