What is the Greatest Common Factor of 23056 and 23067?

Greatest common factor (GCF) of 23056 and 23067 is 11.

GCF(23056,23067) = 11

We will now calculate the prime factors of 23056 and 23067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23056 and 23067.

How to find the GCF of 23056 and 23067?

We will first find the prime factorization of 23056 and 23067. After we will calculate the factors of 23056 and 23067 and find the biggest common factor number .

Step-1: Prime Factorization of 23056

Prime factors of 23056 are 2, 11, 131. Prime factorization of 23056 in exponential form is:

23056 = 2⁴ × 11¹ × 131¹

Step-2: Prime Factorization of 23067

Prime factors of 23067 are 3, 11, 233. Prime factorization of 23067 in exponential form is:

23067 = 3² × 11¹ × 233¹

Step-3: Factors of 23056

List of positive integer factors of 23056 that divides 23056 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 131, 176, 262, 524, 1048, 1441, 2096, 2882, 5764, 11528

Step-4: Factors of 23067

List of positive integer factors of 23067 that divides 23056 without a remainder.

1, 3, 9, 11, 33, 99, 233, 699, 2097, 2563, 7689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23056 and 23067. The biggest common factor number is the GCF number.
So the greatest common factor 23056 and 23067 is 11.

Also check out the Least Common Multiple of 23056 and 23067