What is the Greatest Common Factor of 72725 and 72736?

Greatest common factor (GCF) of 72725 and 72736 is 1.

GCF(72725,72736) = 1

We will now calculate the prime factors of 72725 and 72736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72725 and 72736.

How to find the GCF of 72725 and 72736?

We will first find the prime factorization of 72725 and 72736. After we will calculate the factors of 72725 and 72736 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 72736

Prime factors of 72736 are 2, 2273. Prime factorization of 72736 in exponential form is:

72736 = 2⁵ × 2273¹

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 72736

List of positive integer factors of 72736 that divides 72725 without a remainder.

1, 2, 4, 8, 16, 32, 2273, 4546, 9092, 18184, 36368

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72725 and 72736. The biggest common factor number is the GCF number.
So the greatest common factor 72725 and 72736 is 1.

Also check out the Least Common Multiple of 72725 and 72736