What is the Greatest Common Factor of 60121 and 60129?

Greatest common factor (GCF) of 60121 and 60129 is 1.

GCF(60121,60129) = 1

We will now calculate the prime factors of 60121 and 60129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60121 and 60129.

How to find the GCF of 60121 and 60129?

We will first find the prime factorization of 60121 and 60129. After we will calculate the factors of 60121 and 60129 and find the biggest common factor number .

Step-1: Prime Factorization of 60121

Prime factors of 60121 are 59, 1019. Prime factorization of 60121 in exponential form is:

60121 = 59¹ × 1019¹

Step-2: Prime Factorization of 60129

Prime factors of 60129 are 3, 17, 131. Prime factorization of 60129 in exponential form is:

60129 = 3³ × 17¹ × 131¹

Step-3: Factors of 60121

List of positive integer factors of 60121 that divides 60121 without a remainder.

1, 59, 1019

Step-4: Factors of 60129

List of positive integer factors of 60129 that divides 60121 without a remainder.

1, 3, 9, 17, 27, 51, 131, 153, 393, 459, 1179, 2227, 3537, 6681, 20043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60121 and 60129. The biggest common factor number is the GCF number.
So the greatest common factor 60121 and 60129 is 1.

Also check out the Least Common Multiple of 60121 and 60129