What is the Greatest Common Factor of 72585 and 72605?

Greatest common factor (GCF) of 72585 and 72605 is 5.

GCF(72585,72605) = 5

We will now calculate the prime factors of 72585 and 72605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72585 and 72605.

How to find the GCF of 72585 and 72605?

We will first find the prime factorization of 72585 and 72605. After we will calculate the factors of 72585 and 72605 and find the biggest common factor number .

Step-1: Prime Factorization of 72585

Prime factors of 72585 are 3, 5, 1613. Prime factorization of 72585 in exponential form is:

72585 = 3² × 5¹ × 1613¹

Step-2: 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-3: Factors of 72585

List of positive integer factors of 72585 that divides 72585 without a remainder.

1, 3, 5, 9, 15, 45, 1613, 4839, 8065, 14517, 24195

Step-4: Factors of 72605

List of positive integer factors of 72605 that divides 72585 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72585 and 72605. The biggest common factor number is the GCF number.
So the greatest common factor 72585 and 72605 is 5.

Also check out the Least Common Multiple of 72585 and 72605