What is the Greatest Common Factor of 59003 and 59022?

Greatest common factor (GCF) of 59003 and 59022 is 1.

GCF(59003,59022) = 1

We will now calculate the prime factors of 59003 and 59022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59003 and 59022.

How to find the GCF of 59003 and 59022?

We will first find the prime factorization of 59003 and 59022. After we will calculate the factors of 59003 and 59022 and find the biggest common factor number .

Step-1: Prime Factorization of 59003

Prime factors of 59003 are 7, 8429. Prime factorization of 59003 in exponential form is:

59003 = 7¹ × 8429¹

Step-2: Prime Factorization of 59022

Prime factors of 59022 are 2, 3, 1093. Prime factorization of 59022 in exponential form is:

59022 = 2¹ × 3³ × 1093¹

Step-3: Factors of 59003

List of positive integer factors of 59003 that divides 59003 without a remainder.

1, 7, 8429

Step-4: Factors of 59022

List of positive integer factors of 59022 that divides 59003 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1093, 2186, 3279, 6558, 9837, 19674, 29511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59003 and 59022. The biggest common factor number is the GCF number.
So the greatest common factor 59003 and 59022 is 1.

Also check out the Least Common Multiple of 59003 and 59022