What is the Greatest Common Factor of 23630 and 23640?

Greatest common factor (GCF) of 23630 and 23640 is 10.

GCF(23630,23640) = 10

We will now calculate the prime factors of 23630 and 23640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23630 and 23640.

How to find the GCF of 23630 and 23640?

We will first find the prime factorization of 23630 and 23640. After we will calculate the factors of 23630 and 23640 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 23640

Prime factors of 23640 are 2, 3, 5, 197. Prime factorization of 23640 in exponential form is:

23640 = 2³ × 3¹ × 5¹ × 197¹

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 23640

List of positive integer factors of 23640 that divides 23630 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 197, 394, 591, 788, 985, 1182, 1576, 1970, 2364, 2955, 3940, 4728, 5910, 7880, 11820

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23630 and 23640. The biggest common factor number is the GCF number.
So the greatest common factor 23630 and 23640 is 10.

Also check out the Least Common Multiple of 23630 and 23640