What is the Greatest Common Factor of 60059 and 60064?

Greatest common factor (GCF) of 60059 and 60064 is 1.

GCF(60059,60064) = 1

We will now calculate the prime factors of 60059 and 60064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60059 and 60064.

How to find the GCF of 60059 and 60064?

We will first find the prime factorization of 60059 and 60064. After we will calculate the factors of 60059 and 60064 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60064

Prime factors of 60064 are 2, 1877. Prime factorization of 60064 in exponential form is:

60064 = 2⁵ × 1877¹

Step-3: Factors of 60059

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

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

Step-4: Factors of 60064

List of positive integer factors of 60064 that divides 60059 without a remainder.

1, 2, 4, 8, 16, 32, 1877, 3754, 7508, 15016, 30032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60059 and 60064. The biggest common factor number is the GCF number.
So the greatest common factor 60059 and 60064 is 1.

Also check out the Least Common Multiple of 60059 and 60064