What is the Greatest Common Factor of 60465 and 60483?

Greatest common factor (GCF) of 60465 and 60483 is 3.

GCF(60465,60483) = 3

We will now calculate the prime factors of 60465 and 60483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60465 and 60483.

How to find the GCF of 60465 and 60483?

We will first find the prime factorization of 60465 and 60483. After we will calculate the factors of 60465 and 60483 and find the biggest common factor number .

Step-1: Prime Factorization of 60465

Prime factors of 60465 are 3, 5, 29, 139. Prime factorization of 60465 in exponential form is:

60465 = 3¹ × 5¹ × 29¹ × 139¹

Step-2: Prime Factorization of 60483

Prime factors of 60483 are 3, 20161. Prime factorization of 60483 in exponential form is:

60483 = 3¹ × 20161¹

Step-3: Factors of 60465

List of positive integer factors of 60465 that divides 60465 without a remainder.

1, 3, 5, 15, 29, 87, 139, 145, 417, 435, 695, 2085, 4031, 12093, 20155

Step-4: Factors of 60483

List of positive integer factors of 60483 that divides 60465 without a remainder.

1, 3, 20161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60465 and 60483. The biggest common factor number is the GCF number.
So the greatest common factor 60465 and 60483 is 3.

Also check out the Least Common Multiple of 60465 and 60483