What is the Greatest Common Factor of 23136 and 23144?

Greatest common factor (GCF) of 23136 and 23144 is 8.

GCF(23136,23144) = 8

We will now calculate the prime factors of 23136 and 23144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23136 and 23144.

How to find the GCF of 23136 and 23144?

We will first find the prime factorization of 23136 and 23144. After we will calculate the factors of 23136 and 23144 and find the biggest common factor number .

Step-1: Prime Factorization of 23136

Prime factors of 23136 are 2, 3, 241. Prime factorization of 23136 in exponential form is:

23136 = 2⁵ × 3¹ × 241¹

Step-2: Prime Factorization of 23144

Prime factors of 23144 are 2, 11, 263. Prime factorization of 23144 in exponential form is:

23144 = 2³ × 11¹ × 263¹

Step-3: Factors of 23136

List of positive integer factors of 23136 that divides 23136 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 241, 482, 723, 964, 1446, 1928, 2892, 3856, 5784, 7712, 11568

Step-4: Factors of 23144

List of positive integer factors of 23144 that divides 23136 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 263, 526, 1052, 2104, 2893, 5786, 11572

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23136 and 23144. The biggest common factor number is the GCF number.
So the greatest common factor 23136 and 23144 is 8.

Also check out the Least Common Multiple of 23136 and 23144