What is the Greatest Common Factor of 10600 and 10616?

Greatest common factor (GCF) of 10600 and 10616 is 8.

GCF(10600,10616) = 8

We will now calculate the prime factors of 10600 and 10616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10600 and 10616.

How to find the GCF of 10600 and 10616?

We will first find the prime factorization of 10600 and 10616. After we will calculate the factors of 10600 and 10616 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 10616

Prime factors of 10616 are 2, 1327. Prime factorization of 10616 in exponential form is:

10616 = 2³ × 1327¹

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 10616

List of positive integer factors of 10616 that divides 10600 without a remainder.

1, 2, 4, 8, 1327, 2654, 5308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10600 and 10616. The biggest common factor number is the GCF number.
So the greatest common factor 10600 and 10616 is 8.

Also check out the Least Common Multiple of 10600 and 10616