What is the Greatest Common Factor of 72097 and 72114?

Greatest common factor (GCF) of 72097 and 72114 is 17.

GCF(72097,72114) = 17

We will now calculate the prime factors of 72097 and 72114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72097 and 72114.

How to find the GCF of 72097 and 72114?

We will first find the prime factorization of 72097 and 72114. After we will calculate the factors of 72097 and 72114 and find the biggest common factor number .

Step-1: Prime Factorization of 72097

Prime factors of 72097 are 17, 4241. Prime factorization of 72097 in exponential form is:

72097 = 17¹ × 4241¹

Step-2: 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-3: Factors of 72097

List of positive integer factors of 72097 that divides 72097 without a remainder.

1, 17, 4241

Step-4: Factors of 72114

List of positive integer factors of 72114 that divides 72097 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72097 and 72114. The biggest common factor number is the GCF number.
So the greatest common factor 72097 and 72114 is 17.

Also check out the Least Common Multiple of 72097 and 72114