What is the Greatest Common Factor of 72599 and 72610?

Greatest common factor (GCF) of 72599 and 72610 is 1.

GCF(72599,72610) = 1

We will now calculate the prime factors of 72599 and 72610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72599 and 72610.

How to find the GCF of 72599 and 72610?

We will first find the prime factorization of 72599 and 72610. After we will calculate the factors of 72599 and 72610 and find the biggest common factor number .

Step-1: Prime Factorization of 72599

Prime factors of 72599 are 19, 3821. Prime factorization of 72599 in exponential form is:

72599 = 19¹ × 3821¹

Step-2: Prime Factorization of 72610

Prime factors of 72610 are 2, 5, 53, 137. Prime factorization of 72610 in exponential form is:

72610 = 2¹ × 5¹ × 53¹ × 137¹

Step-3: Factors of 72599

List of positive integer factors of 72599 that divides 72599 without a remainder.

1, 19, 3821

Step-4: Factors of 72610

List of positive integer factors of 72610 that divides 72599 without a remainder.

1, 2, 5, 10, 53, 106, 137, 265, 274, 530, 685, 1370, 7261, 14522, 36305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72599 and 72610. The biggest common factor number is the GCF number.
So the greatest common factor 72599 and 72610 is 1.

Also check out the Least Common Multiple of 72599 and 72610