What is the Greatest Common Factor of 23312 and 23320?

Greatest common factor (GCF) of 23312 and 23320 is 8.

GCF(23312,23320) = 8

We will now calculate the prime factors of 23312 and 23320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23312 and 23320.

How to find the GCF of 23312 and 23320?

We will first find the prime factorization of 23312 and 23320. After we will calculate the factors of 23312 and 23320 and find the biggest common factor number .

Step-1: Prime Factorization of 23312

Prime factors of 23312 are 2, 31, 47. Prime factorization of 23312 in exponential form is:

23312 = 2⁴ × 31¹ × 47¹

Step-2: Prime Factorization of 23320

Prime factors of 23320 are 2, 5, 11, 53. Prime factorization of 23320 in exponential form is:

23320 = 2³ × 5¹ × 11¹ × 53¹

Step-3: Factors of 23312

List of positive integer factors of 23312 that divides 23312 without a remainder.

1, 2, 4, 8, 16, 31, 47, 62, 94, 124, 188, 248, 376, 496, 752, 1457, 2914, 5828, 11656

Step-4: Factors of 23320

List of positive integer factors of 23320 that divides 23312 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 53, 55, 88, 106, 110, 212, 220, 265, 424, 440, 530, 583, 1060, 1166, 2120, 2332, 2915, 4664, 5830, 11660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23312 and 23320. The biggest common factor number is the GCF number.
So the greatest common factor 23312 and 23320 is 8.

Also check out the Least Common Multiple of 23312 and 23320