What is the Greatest Common Factor of 72131 and 72148?

Greatest common factor (GCF) of 72131 and 72148 is 17.

GCF(72131,72148) = 17

We will now calculate the prime factors of 72131 and 72148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72131 and 72148.

How to find the GCF of 72131 and 72148?

We will first find the prime factorization of 72131 and 72148. After we will calculate the factors of 72131 and 72148 and find the biggest common factor number .

Step-1: Prime Factorization of 72131

Prime factors of 72131 are 17, 4243. Prime factorization of 72131 in exponential form is:

72131 = 17¹ × 4243¹

Step-2: Prime Factorization of 72148

Prime factors of 72148 are 2, 17, 1061. Prime factorization of 72148 in exponential form is:

72148 = 2² × 17¹ × 1061¹

Step-3: Factors of 72131

List of positive integer factors of 72131 that divides 72131 without a remainder.

1, 17, 4243

Step-4: Factors of 72148

List of positive integer factors of 72148 that divides 72131 without a remainder.

1, 2, 4, 17, 34, 68, 1061, 2122, 4244, 18037, 36074

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72131 and 72148. The biggest common factor number is the GCF number.
So the greatest common factor 72131 and 72148 is 17.

Also check out the Least Common Multiple of 72131 and 72148