What is the Greatest Common Factor of 23632 and 23640?

Greatest common factor (GCF) of 23632 and 23640 is 8.

GCF(23632,23640) = 8

We will now calculate the prime factors of 23632 and 23640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23632 and 23640.

How to find the GCF of 23632 and 23640?

We will first find the prime factorization of 23632 and 23640. After we will calculate the factors of 23632 and 23640 and find the biggest common factor number .

Step-1: Prime Factorization of 23632

Prime factors of 23632 are 2, 7, 211. Prime factorization of 23632 in exponential form is:

23632 = 2⁴ × 7¹ × 211¹

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 23632

List of positive integer factors of 23632 that divides 23632 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 211, 422, 844, 1477, 1688, 2954, 3376, 5908, 11816

Step-4: Factors of 23640

List of positive integer factors of 23640 that divides 23632 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 23632 and 23640. The biggest common factor number is the GCF number.
So the greatest common factor 23632 and 23640 is 8.

Also check out the Least Common Multiple of 23632 and 23640