What is the Greatest Common Factor of 23360 and 23376?

Greatest common factor (GCF) of 23360 and 23376 is 16.

GCF(23360,23376) = 16

We will now calculate the prime factors of 23360 and 23376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23360 and 23376.

How to find the GCF of 23360 and 23376?

We will first find the prime factorization of 23360 and 23376. After we will calculate the factors of 23360 and 23376 and find the biggest common factor number .

Step-1: Prime Factorization of 23360

Prime factors of 23360 are 2, 5, 73. Prime factorization of 23360 in exponential form is:

23360 = 2⁶ × 5¹ × 73¹

Step-2: Prime Factorization of 23376

Prime factors of 23376 are 2, 3, 487. Prime factorization of 23376 in exponential form is:

23376 = 2⁴ × 3¹ × 487¹

Step-3: Factors of 23360

List of positive integer factors of 23360 that divides 23360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 73, 80, 146, 160, 292, 320, 365, 584, 730, 1168, 1460, 2336, 2920, 4672, 5840, 11680

Step-4: Factors of 23376

List of positive integer factors of 23376 that divides 23360 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 487, 974, 1461, 1948, 2922, 3896, 5844, 7792, 11688

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23360 and 23376. The biggest common factor number is the GCF number.
So the greatest common factor 23360 and 23376 is 16.

Also check out the Least Common Multiple of 23360 and 23376