What is the Greatest Common Factor of 60459 and 60465?

Greatest common factor (GCF) of 60459 and 60465 is 3.

GCF(60459,60465) = 3

We will now calculate the prime factors of 60459 and 60465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60459 and 60465.

How to find the GCF of 60459 and 60465?

We will first find the prime factorization of 60459 and 60465. After we will calculate the factors of 60459 and 60465 and find the biggest common factor number .

Step-1: Prime Factorization of 60459

Prime factors of 60459 are 3, 7, 2879. Prime factorization of 60459 in exponential form is:

60459 = 3¹ × 7¹ × 2879¹

Step-2: 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-3: Factors of 60459

List of positive integer factors of 60459 that divides 60459 without a remainder.

1, 3, 7, 21, 2879, 8637, 20153

Step-4: Factors of 60465

List of positive integer factors of 60465 that divides 60459 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60459 and 60465. The biggest common factor number is the GCF number.
So the greatest common factor 60459 and 60465 is 3.

Also check out the Least Common Multiple of 60459 and 60465