What is the Greatest Common Factor of 60045 and 60059?

Greatest common factor (GCF) of 60045 and 60059 is 1.

GCF(60045,60059) = 1

We will now calculate the prime factors of 60045 and 60059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60045 and 60059.

How to find the GCF of 60045 and 60059?

We will first find the prime factorization of 60045 and 60059. After we will calculate the factors of 60045 and 60059 and find the biggest common factor number .

Step-1: Prime Factorization of 60045

Prime factors of 60045 are 3, 5, 4003. Prime factorization of 60045 in exponential form is:

60045 = 3¹ × 5¹ × 4003¹

Step-2: Prime Factorization of 60059

Prime factors of 60059 are 19, 29, 109. Prime factorization of 60059 in exponential form is:

60059 = 19¹ × 29¹ × 109¹

Step-3: Factors of 60045

List of positive integer factors of 60045 that divides 60045 without a remainder.

1, 3, 5, 15, 4003, 12009, 20015

Step-4: Factors of 60059

List of positive integer factors of 60059 that divides 60045 without a remainder.

1, 19, 29, 109, 551, 2071, 3161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60045 and 60059. The biggest common factor number is the GCF number.
So the greatest common factor 60045 and 60059 is 1.

Also check out the Least Common Multiple of 60045 and 60059