What is the Greatest Common Factor of 10600 and 10620?

Greatest common factor (GCF) of 10600 and 10620 is 20.

GCF(10600,10620) = 20

We will now calculate the prime factors of 10600 and 10620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10600 and 10620.

How to find the GCF of 10600 and 10620?

We will first find the prime factorization of 10600 and 10620. After we will calculate the factors of 10600 and 10620 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 10620

Prime factors of 10620 are 2, 3, 5, 59. Prime factorization of 10620 in exponential form is:

10620 = 2² × 3² × 5¹ × 59¹

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 10620

List of positive integer factors of 10620 that divides 10600 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 59, 60, 90, 118, 177, 180, 236, 295, 354, 531, 590, 708, 885, 1062, 1180, 1770, 2124, 2655, 3540, 5310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10600 and 10620. The biggest common factor number is the GCF number.
So the greatest common factor 10600 and 10620 is 20.

Also check out the Least Common Multiple of 10600 and 10620