What is the Greatest Common Factor of 60465 and 60474?

Greatest common factor (GCF) of 60465 and 60474 is 3.

GCF(60465,60474) = 3

We will now calculate the prime factors of 60465 and 60474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60465 and 60474.

How to find the GCF of 60465 and 60474?

We will first find the prime factorization of 60465 and 60474. After we will calculate the factors of 60465 and 60474 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 60474

Prime factors of 60474 are 2, 3, 10079. Prime factorization of 60474 in exponential form is:

60474 = 2¹ × 3¹ × 10079¹

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 60474

List of positive integer factors of 60474 that divides 60465 without a remainder.

1, 2, 3, 6, 10079, 20158, 30237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60465 and 60474. The biggest common factor number is the GCF number.
So the greatest common factor 60465 and 60474 is 3.

Also check out the Least Common Multiple of 60465 and 60474