What is the Greatest Common Factor of 60075 and 60086?

Greatest common factor (GCF) of 60075 and 60086 is 1.

GCF(60075,60086) = 1

We will now calculate the prime factors of 60075 and 60086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60075 and 60086.

How to find the GCF of 60075 and 60086?

We will first find the prime factorization of 60075 and 60086. After we will calculate the factors of 60075 and 60086 and find the biggest common factor number .

Step-1: Prime Factorization of 60075

Prime factors of 60075 are 3, 5, 89. Prime factorization of 60075 in exponential form is:

60075 = 3³ × 5² × 89¹

Step-2: Prime Factorization of 60086

Prime factors of 60086 are 2, 13, 2311. Prime factorization of 60086 in exponential form is:

60086 = 2¹ × 13¹ × 2311¹

Step-3: Factors of 60075

List of positive integer factors of 60075 that divides 60075 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 89, 135, 225, 267, 445, 675, 801, 1335, 2225, 2403, 4005, 6675, 12015, 20025

Step-4: Factors of 60086

List of positive integer factors of 60086 that divides 60075 without a remainder.

1, 2, 13, 26, 2311, 4622, 30043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60075 and 60086. The biggest common factor number is the GCF number.
So the greatest common factor 60075 and 60086 is 1.

Also check out the Least Common Multiple of 60075 and 60086