What is the Greatest Common Factor of 23630 and 23650?

Greatest common factor (GCF) of 23630 and 23650 is 10.

GCF(23630,23650) = 10

We will now calculate the prime factors of 23630 and 23650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23630 and 23650.

How to find the GCF of 23630 and 23650?

We will first find the prime factorization of 23630 and 23650. After we will calculate the factors of 23630 and 23650 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23650

Prime factors of 23650 are 2, 5, 11, 43. Prime factorization of 23650 in exponential form is:

23650 = 2¹ × 5² × 11¹ × 43¹

Step-3: Factors of 23630

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

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

Step-4: Factors of 23650

List of positive integer factors of 23650 that divides 23630 without a remainder.

1, 2, 5, 10, 11, 22, 25, 43, 50, 55, 86, 110, 215, 275, 430, 473, 550, 946, 1075, 2150, 2365, 4730, 11825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23630 and 23650. The biggest common factor number is the GCF number.
So the greatest common factor 23630 and 23650 is 10.

Also check out the Least Common Multiple of 23630 and 23650