What is the Greatest Common Factor of 72725 and 72744?

Greatest common factor (GCF) of 72725 and 72744 is 1.

GCF(72725,72744) = 1

We will now calculate the prime factors of 72725 and 72744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72725 and 72744.

How to find the GCF of 72725 and 72744?

We will first find the prime factorization of 72725 and 72744. After we will calculate the factors of 72725 and 72744 and find the biggest common factor number .

Step-1: Prime Factorization of 72725

Prime factors of 72725 are 5, 2909. Prime factorization of 72725 in exponential form is:

72725 = 5² × 2909¹

Step-2: Prime Factorization of 72744

Prime factors of 72744 are 2, 3, 7, 433. Prime factorization of 72744 in exponential form is:

72744 = 2³ × 3¹ × 7¹ × 433¹

Step-3: Factors of 72725

List of positive integer factors of 72725 that divides 72725 without a remainder.

1, 5, 25, 2909, 14545

Step-4: Factors of 72744

List of positive integer factors of 72744 that divides 72725 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 433, 866, 1299, 1732, 2598, 3031, 3464, 5196, 6062, 9093, 10392, 12124, 18186, 24248, 36372

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72725 and 72744. The biggest common factor number is the GCF number.
So the greatest common factor 72725 and 72744 is 1.

Also check out the Least Common Multiple of 72725 and 72744