What is the Greatest Common Factor of 23005 and 23024?

Greatest common factor (GCF) of 23005 and 23024 is 1.

GCF(23005,23024) = 1

We will now calculate the prime factors of 23005 and 23024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23005 and 23024.

How to find the GCF of 23005 and 23024?

We will first find the prime factorization of 23005 and 23024. After we will calculate the factors of 23005 and 23024 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 23024

Prime factors of 23024 are 2, 1439. Prime factorization of 23024 in exponential form is:

23024 = 2⁴ × 1439¹

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 23024

List of positive integer factors of 23024 that divides 23005 without a remainder.

1, 2, 4, 8, 16, 1439, 2878, 5756, 11512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23005 and 23024. The biggest common factor number is the GCF number.
So the greatest common factor 23005 and 23024 is 1.

Also check out the Least Common Multiple of 23005 and 23024