What is the Greatest Common Factor of 23045 and 23056?

Greatest common factor (GCF) of 23045 and 23056 is 11.

GCF(23045,23056) = 11

We will now calculate the prime factors of 23045 and 23056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23045 and 23056.

How to find the GCF of 23045 and 23056?

We will first find the prime factorization of 23045 and 23056. After we will calculate the factors of 23045 and 23056 and find the biggest common factor number .

Step-1: Prime Factorization of 23045

Prime factors of 23045 are 5, 11, 419. Prime factorization of 23045 in exponential form is:

23045 = 5¹ × 11¹ × 419¹

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 23045

List of positive integer factors of 23045 that divides 23045 without a remainder.

1, 5, 11, 55, 419, 2095, 4609

Step-4: Factors of 23056

List of positive integer factors of 23056 that divides 23045 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 23045 and 23056. The biggest common factor number is the GCF number.
So the greatest common factor 23045 and 23056 is 11.

Also check out the Least Common Multiple of 23045 and 23056