What is the Greatest Common Factor of 10600 and 10615?

Greatest common factor (GCF) of 10600 and 10615 is 5.

GCF(10600,10615) = 5

We will now calculate the prime factors of 10600 and 10615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10600 and 10615.

How to find the GCF of 10600 and 10615?

We will first find the prime factorization of 10600 and 10615. After we will calculate the factors of 10600 and 10615 and find the biggest common factor number .

Step-1: Prime Factorization of 10600

Prime factors of 10600 are 2, 5, 53. Prime factorization of 10600 in exponential form is:

10600 = 2³ × 5² × 53¹

Step-2: Prime Factorization of 10615

Prime factors of 10615 are 5, 11, 193. Prime factorization of 10615 in exponential form is:

10615 = 5¹ × 11¹ × 193¹

Step-3: Factors of 10600

List of positive integer factors of 10600 that divides 10600 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 53, 100, 106, 200, 212, 265, 424, 530, 1060, 1325, 2120, 2650, 5300

Step-4: Factors of 10615

List of positive integer factors of 10615 that divides 10600 without a remainder.

1, 5, 11, 55, 193, 965, 2123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10600 and 10615. The biggest common factor number is the GCF number.
So the greatest common factor 10600 and 10615 is 5.

Also check out the Least Common Multiple of 10600 and 10615