What is the Greatest Common Factor of 22610 and 22617?

Greatest common factor (GCF) of 22610 and 22617 is 7.

GCF(22610,22617) = 7

We will now calculate the prime factors of 22610 and 22617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22610 and 22617.

How to find the GCF of 22610 and 22617?

We will first find the prime factorization of 22610 and 22617. After we will calculate the factors of 22610 and 22617 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22617

Prime factors of 22617 are 3, 7, 359. Prime factorization of 22617 in exponential form is:

22617 = 3² × 7¹ × 359¹

Step-3: Factors of 22610

List of positive integer factors of 22610 that divides 22610 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

Step-4: Factors of 22617

List of positive integer factors of 22617 that divides 22610 without a remainder.

1, 3, 7, 9, 21, 63, 359, 1077, 2513, 3231, 7539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22610 and 22617. The biggest common factor number is the GCF number.
So the greatest common factor 22610 and 22617 is 7.

Also check out the Least Common Multiple of 22610 and 22617