What is the Greatest Common Factor of 72625 and 72636?

Greatest common factor (GCF) of 72625 and 72636 is 1.

GCF(72625,72636) = 1

We will now calculate the prime factors of 72625 and 72636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72625 and 72636.

How to find the GCF of 72625 and 72636?

We will first find the prime factorization of 72625 and 72636. After we will calculate the factors of 72625 and 72636 and find the biggest common factor number .

Step-1: Prime Factorization of 72625

Prime factors of 72625 are 5, 7, 83. Prime factorization of 72625 in exponential form is:

72625 = 5³ × 7¹ × 83¹

Step-2: Prime Factorization of 72636

Prime factors of 72636 are 2, 3, 6053. Prime factorization of 72636 in exponential form is:

72636 = 2² × 3¹ × 6053¹

Step-3: Factors of 72625

List of positive integer factors of 72625 that divides 72625 without a remainder.

1, 5, 7, 25, 35, 83, 125, 175, 415, 581, 875, 2075, 2905, 10375, 14525

Step-4: Factors of 72636

List of positive integer factors of 72636 that divides 72625 without a remainder.

1, 2, 3, 4, 6, 12, 6053, 12106, 18159, 24212, 36318

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72625 and 72636. The biggest common factor number is the GCF number.
So the greatest common factor 72625 and 72636 is 1.

Also check out the Least Common Multiple of 72625 and 72636