What is the Greatest Common Factor of 60451 and 60465?

Greatest common factor (GCF) of 60451 and 60465 is 1.

GCF(60451,60465) = 1

We will now calculate the prime factors of 60451 and 60465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60451 and 60465.

How to find the GCF of 60451 and 60465?

We will first find the prime factorization of 60451 and 60465. After we will calculate the factors of 60451 and 60465 and find the biggest common factor number .

Step-1: Prime Factorization of 60451

Prime factors of 60451 are 61, 991. Prime factorization of 60451 in exponential form is:

60451 = 61¹ × 991¹

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 60451

List of positive integer factors of 60451 that divides 60451 without a remainder.

1, 61, 991

Step-4: Factors of 60465

List of positive integer factors of 60465 that divides 60451 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 60451 and 60465. The biggest common factor number is the GCF number.
So the greatest common factor 60451 and 60465 is 1.

Also check out the Least Common Multiple of 60451 and 60465