What is the Greatest Common Factor of 22610 and 22630?

Greatest common factor (GCF) of 22610 and 22630 is 10.

GCF(22610,22630) = 10

We will now calculate the prime factors of 22610 and 22630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22610 and 22630.

How to find the GCF of 22610 and 22630?

We will first find the prime factorization of 22610 and 22630. After we will calculate the factors of 22610 and 22630 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 22630

Prime factors of 22630 are 2, 5, 31, 73. Prime factorization of 22630 in exponential form is:

22630 = 2¹ × 5¹ × 31¹ × 73¹

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 22630

List of positive integer factors of 22630 that divides 22610 without a remainder.

1, 2, 5, 10, 31, 62, 73, 146, 155, 310, 365, 730, 2263, 4526, 11315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22610 and 22630. The biggest common factor number is the GCF number.
So the greatest common factor 22610 and 22630 is 10.

Also check out the Least Common Multiple of 22610 and 22630