What is the Greatest Common Factor of 23630 and 23648?

Greatest common factor (GCF) of 23630 and 23648 is 2.

GCF(23630,23648) = 2

We will now calculate the prime factors of 23630 and 23648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23630 and 23648.

How to find the GCF of 23630 and 23648?

We will first find the prime factorization of 23630 and 23648. After we will calculate the factors of 23630 and 23648 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 23648

Prime factors of 23648 are 2, 739. Prime factorization of 23648 in exponential form is:

23648 = 2⁵ × 739¹

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 23648

List of positive integer factors of 23648 that divides 23630 without a remainder.

1, 2, 4, 8, 16, 32, 739, 1478, 2956, 5912, 11824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23630 and 23648. The biggest common factor number is the GCF number.
So the greatest common factor 23630 and 23648 is 2.

Also check out the Least Common Multiple of 23630 and 23648