What is the Greatest Common Factor of 72605 and 72625?

Greatest common factor (GCF) of 72605 and 72625 is 5.

GCF(72605,72625) = 5

We will now calculate the prime factors of 72605 and 72625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72605 and 72625.

How to find the GCF of 72605 and 72625?

We will first find the prime factorization of 72605 and 72625. After we will calculate the factors of 72605 and 72625 and find the biggest common factor number .

Step-1: Prime Factorization of 72605

Prime factors of 72605 are 5, 13, 1117. Prime factorization of 72605 in exponential form is:

72605 = 5¹ × 13¹ × 1117¹

Step-2: 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-3: Factors of 72605

List of positive integer factors of 72605 that divides 72605 without a remainder.

1, 5, 13, 65, 1117, 5585, 14521

Step-4: Factors of 72625

List of positive integer factors of 72625 that divides 72605 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72605 and 72625. The biggest common factor number is the GCF number.
So the greatest common factor 72605 and 72625 is 5.

Also check out the Least Common Multiple of 72605 and 72625