What is the Greatest Common Factor of 22600 and 22610?

Greatest common factor (GCF) of 22600 and 22610 is 10.

GCF(22600,22610) = 10

We will now calculate the prime factors of 22600 and 22610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22600 and 22610.

How to find the GCF of 22600 and 22610?

We will first find the prime factorization of 22600 and 22610. After we will calculate the factors of 22600 and 22610 and find the biggest common factor number .

Step-1: Prime Factorization of 22600

Prime factors of 22600 are 2, 5, 113. Prime factorization of 22600 in exponential form is:

22600 = 2³ × 5² × 113¹

Step-2: Prime Factorization of 22610

Prime factors of 22610 are 2, 5, 7, 17, 19. Prime factorization of 22610 in exponential form is:

22610 = 2¹ × 5¹ × 7¹ × 17¹ × 19¹

Step-3: Factors of 22600

List of positive integer factors of 22600 that divides 22600 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 113, 200, 226, 452, 565, 904, 1130, 2260, 2825, 4520, 5650, 11300

Step-4: Factors of 22610

List of positive integer factors of 22610 that divides 22600 without a remainder.

1, 2, 5, 7, 10, 14, 17, 19, 34, 35, 38, 70, 85, 95, 119, 133, 170, 190, 238, 266, 323, 595, 646, 665, 1190, 1330, 1615, 2261, 3230, 4522, 11305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22600 and 22610. The biggest common factor number is the GCF number.
So the greatest common factor 22600 and 22610 is 10.

Also check out the Least Common Multiple of 22600 and 22610