What is the Greatest Common Factor of 56005 and 56023?

Greatest common factor (GCF) of 56005 and 56023 is 1.

GCF(56005,56023) = 1

We will now calculate the prime factors of 56005 and 56023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56005 and 56023.

How to find the GCF of 56005 and 56023?

We will first find the prime factorization of 56005 and 56023. After we will calculate the factors of 56005 and 56023 and find the biggest common factor number .

Step-1: Prime Factorization of 56005

Prime factors of 56005 are 5, 23, 487. Prime factorization of 56005 in exponential form is:

56005 = 5¹ × 23¹ × 487¹

Step-2: Prime Factorization of 56023

Prime factors of 56023 are 11, 463. Prime factorization of 56023 in exponential form is:

56023 = 11² × 463¹

Step-3: Factors of 56005

List of positive integer factors of 56005 that divides 56005 without a remainder.

1, 5, 23, 115, 487, 2435, 11201

Step-4: Factors of 56023

List of positive integer factors of 56023 that divides 56005 without a remainder.

1, 11, 121, 463, 5093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56005 and 56023. The biggest common factor number is the GCF number.
So the greatest common factor 56005 and 56023 is 1.

Also check out the Least Common Multiple of 56005 and 56023