What is the Greatest Common Factor of 60065 and 60075?

Greatest common factor (GCF) of 60065 and 60075 is 5.

GCF(60065,60075) = 5

We will now calculate the prime factors of 60065 and 60075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60065 and 60075.

How to find the GCF of 60065 and 60075?

We will first find the prime factorization of 60065 and 60075. After we will calculate the factors of 60065 and 60075 and find the biggest common factor number .

Step-1: Prime Factorization of 60065

Prime factors of 60065 are 5, 41, 293. Prime factorization of 60065 in exponential form is:

60065 = 5¹ × 41¹ × 293¹

Step-2: 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-3: Factors of 60065

List of positive integer factors of 60065 that divides 60065 without a remainder.

1, 5, 41, 205, 293, 1465, 12013

Step-4: Factors of 60075

List of positive integer factors of 60075 that divides 60065 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60065 and 60075. The biggest common factor number is the GCF number.
So the greatest common factor 60065 and 60075 is 5.

Also check out the Least Common Multiple of 60065 and 60075