What is the Greatest Common Factor of 23012 and 23023?

Greatest common factor (GCF) of 23012 and 23023 is 11.

GCF(23012,23023) = 11

We will now calculate the prime factors of 23012 and 23023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23012 and 23023.

How to find the GCF of 23012 and 23023?

We will first find the prime factorization of 23012 and 23023. After we will calculate the factors of 23012 and 23023 and find the biggest common factor number .

Step-1: Prime Factorization of 23012

Prime factors of 23012 are 2, 11, 523. Prime factorization of 23012 in exponential form is:

23012 = 2² × 11¹ × 523¹

Step-2: Prime Factorization of 23023

Prime factors of 23023 are 7, 11, 13, 23. Prime factorization of 23023 in exponential form is:

23023 = 7¹ × 11¹ × 13¹ × 23¹

Step-3: Factors of 23012

List of positive integer factors of 23012 that divides 23012 without a remainder.

1, 2, 4, 11, 22, 44, 523, 1046, 2092, 5753, 11506

Step-4: Factors of 23023

List of positive integer factors of 23023 that divides 23012 without a remainder.

1, 7, 11, 13, 23, 77, 91, 143, 161, 253, 299, 1001, 1771, 2093, 3289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23012 and 23023. The biggest common factor number is the GCF number.
So the greatest common factor 23012 and 23023 is 11.

Also check out the Least Common Multiple of 23012 and 23023