What is the Greatest Common Factor of 42005 and 42023?

Greatest common factor (GCF) of 42005 and 42023 is 1.

GCF(42005,42023) = 1

We will now calculate the prime factors of 42005 and 42023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42005 and 42023.

How to find the GCF of 42005 and 42023?

We will first find the prime factorization of 42005 and 42023. After we will calculate the factors of 42005 and 42023 and find the biggest common factor number .

Step-1: Prime Factorization of 42005

Prime factors of 42005 are 5, 31, 271. Prime factorization of 42005 in exponential form is:

42005 = 5¹ × 31¹ × 271¹

Step-2: Prime Factorization of 42023

Prime factors of 42023 are 42023. Prime factorization of 42023 in exponential form is:

42023 = 42023¹

Step-3: Factors of 42005

List of positive integer factors of 42005 that divides 42005 without a remainder.

1, 5, 31, 155, 271, 1355, 8401

Step-4: Factors of 42023

List of positive integer factors of 42023 that divides 42005 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42005 and 42023. The biggest common factor number is the GCF number.
So the greatest common factor 42005 and 42023 is 1.

Also check out the Least Common Multiple of 42005 and 42023