What is the Greatest Common Factor of 72114 and 72131?

Greatest common factor (GCF) of 72114 and 72131 is 17.

GCF(72114,72131) = 17

We will now calculate the prime factors of 72114 and 72131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72114 and 72131.

How to find the GCF of 72114 and 72131?

We will first find the prime factorization of 72114 and 72131. After we will calculate the factors of 72114 and 72131 and find the biggest common factor number .

Step-1: Prime Factorization of 72114

Prime factors of 72114 are 2, 3, 7, 17, 101. Prime factorization of 72114 in exponential form is:

72114 = 2¹ × 3¹ × 7¹ × 17¹ × 101¹

Step-2: Prime Factorization of 72131

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

72131 = 17¹ × 4243¹

Step-3: Factors of 72114

List of positive integer factors of 72114 that divides 72114 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 101, 102, 119, 202, 238, 303, 357, 606, 707, 714, 1414, 1717, 2121, 3434, 4242, 5151, 10302, 12019, 24038, 36057

Step-4: Factors of 72131

List of positive integer factors of 72131 that divides 72114 without a remainder.

1, 17, 4243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72114 and 72131. The biggest common factor number is the GCF number.
So the greatest common factor 72114 and 72131 is 17.

Also check out the Least Common Multiple of 72114 and 72131