What is the Greatest Common Factor of 72114 and 72125?

Greatest common factor (GCF) of 72114 and 72125 is 1.

GCF(72114,72125) = 1

We will now calculate the prime factors of 72114 and 72125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72114 and 72125.

How to find the GCF of 72114 and 72125?

We will first find the prime factorization of 72114 and 72125. After we will calculate the factors of 72114 and 72125 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 72125

Prime factors of 72125 are 5, 577. Prime factorization of 72125 in exponential form is:

72125 = 5³ × 577¹

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 72125

List of positive integer factors of 72125 that divides 72114 without a remainder.

1, 5, 25, 125, 577, 2885, 14425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72114 and 72125. The biggest common factor number is the GCF number.
So the greatest common factor 72114 and 72125 is 1.

Also check out the Least Common Multiple of 72114 and 72125