What is the Greatest Common Factor of 23046 and 23056?

Greatest common factor (GCF) of 23046 and 23056 is 2.

GCF(23046,23056) = 2

We will now calculate the prime factors of 23046 and 23056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23046 and 23056.

How to find the GCF of 23046 and 23056?

We will first find the prime factorization of 23046 and 23056. After we will calculate the factors of 23046 and 23056 and find the biggest common factor number .

Step-1: Prime Factorization of 23046

Prime factors of 23046 are 2, 3, 23, 167. Prime factorization of 23046 in exponential form is:

23046 = 2¹ × 3¹ × 23¹ × 167¹

Step-2: 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-3: Factors of 23046

List of positive integer factors of 23046 that divides 23046 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 167, 334, 501, 1002, 3841, 7682, 11523

Step-4: Factors of 23056

List of positive integer factors of 23056 that divides 23046 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23046 and 23056. The biggest common factor number is the GCF number.
So the greatest common factor 23046 and 23056 is 2.

Also check out the Least Common Multiple of 23046 and 23056