What is the Greatest Common Factor of 72178 and 72188?

Greatest common factor (GCF) of 72178 and 72188 is 2.

GCF(72178,72188) = 2

We will now calculate the prime factors of 72178 and 72188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72178 and 72188.

How to find the GCF of 72178 and 72188?

We will first find the prime factorization of 72178 and 72188. After we will calculate the factors of 72178 and 72188 and find the biggest common factor number .

Step-1: Prime Factorization of 72178

Prime factors of 72178 are 2, 151, 239. Prime factorization of 72178 in exponential form is:

72178 = 2¹ × 151¹ × 239¹

Step-2: Prime Factorization of 72188

Prime factors of 72188 are 2, 18047. Prime factorization of 72188 in exponential form is:

72188 = 2² × 18047¹

Step-3: Factors of 72178

List of positive integer factors of 72178 that divides 72178 without a remainder.

1, 2, 151, 239, 302, 478, 36089

Step-4: Factors of 72188

List of positive integer factors of 72188 that divides 72178 without a remainder.

1, 2, 4, 18047, 36094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72178 and 72188. The biggest common factor number is the GCF number.
So the greatest common factor 72178 and 72188 is 2.

Also check out the Least Common Multiple of 72178 and 72188