What is the Greatest Common Factor of 23610 and 23630?

Greatest common factor (GCF) of 23610 and 23630 is 10.

GCF(23610,23630) = 10

We will now calculate the prime factors of 23610 and 23630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23610 and 23630.

How to find the GCF of 23610 and 23630?

We will first find the prime factorization of 23610 and 23630. After we will calculate the factors of 23610 and 23630 and find the biggest common factor number .

Step-1: Prime Factorization of 23610

Prime factors of 23610 are 2, 3, 5, 787. Prime factorization of 23610 in exponential form is:

23610 = 2¹ × 3¹ × 5¹ × 787¹

Step-2: Prime Factorization of 23630

Prime factors of 23630 are 2, 5, 17, 139. Prime factorization of 23630 in exponential form is:

23630 = 2¹ × 5¹ × 17¹ × 139¹

Step-3: Factors of 23610

List of positive integer factors of 23610 that divides 23610 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 787, 1574, 2361, 3935, 4722, 7870, 11805

Step-4: Factors of 23630

List of positive integer factors of 23630 that divides 23610 without a remainder.

1, 2, 5, 10, 17, 34, 85, 139, 170, 278, 695, 1390, 2363, 4726, 11815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23610 and 23630. The biggest common factor number is the GCF number.
So the greatest common factor 23610 and 23630 is 10.

Also check out the Least Common Multiple of 23610 and 23630