What is the Greatest Common Factor of 23005 and 23023?

Greatest common factor (GCF) of 23005 and 23023 is 1.

GCF(23005,23023) = 1

We will now calculate the prime factors of 23005 and 23023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23005 and 23023.

How to find the GCF of 23005 and 23023?

We will first find the prime factorization of 23005 and 23023. After we will calculate the factors of 23005 and 23023 and find the biggest common factor number .

Step-1: Prime Factorization of 23005

Prime factors of 23005 are 5, 43, 107. Prime factorization of 23005 in exponential form is:

23005 = 5¹ × 43¹ × 107¹

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 23005

List of positive integer factors of 23005 that divides 23005 without a remainder.

1, 5, 43, 107, 215, 535, 4601

Step-4: Factors of 23023

List of positive integer factors of 23023 that divides 23005 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 23005 and 23023. The biggest common factor number is the GCF number.
So the greatest common factor 23005 and 23023 is 1.

Also check out the Least Common Multiple of 23005 and 23023