What is the Greatest Common Factor of 23440 and 23452?

Greatest common factor (GCF) of 23440 and 23452 is 4.

GCF(23440,23452) = 4

We will now calculate the prime factors of 23440 and 23452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23440 and 23452.

How to find the GCF of 23440 and 23452?

We will first find the prime factorization of 23440 and 23452. After we will calculate the factors of 23440 and 23452 and find the biggest common factor number .

Step-1: Prime Factorization of 23440

Prime factors of 23440 are 2, 5, 293. Prime factorization of 23440 in exponential form is:

23440 = 2⁴ × 5¹ × 293¹

Step-2: Prime Factorization of 23452

Prime factors of 23452 are 2, 11, 13, 41. Prime factorization of 23452 in exponential form is:

23452 = 2² × 11¹ × 13¹ × 41¹

Step-3: Factors of 23440

List of positive integer factors of 23440 that divides 23440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 293, 586, 1172, 1465, 2344, 2930, 4688, 5860, 11720

Step-4: Factors of 23452

List of positive integer factors of 23452 that divides 23440 without a remainder.

1, 2, 4, 11, 13, 22, 26, 41, 44, 52, 82, 143, 164, 286, 451, 533, 572, 902, 1066, 1804, 2132, 5863, 11726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23440 and 23452. The biggest common factor number is the GCF number.
So the greatest common factor 23440 and 23452 is 4.

Also check out the Least Common Multiple of 23440 and 23452