What is the Greatest Common Factor of 45660 and 45679?

Greatest common factor (GCF) of 45660 and 45679 is 1.

GCF(45660,45679) = 1

We will now calculate the prime factors of 45660 and 45679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45660 and 45679.

How to find the GCF of 45660 and 45679?

We will first find the prime factorization of 45660 and 45679. After we will calculate the factors of 45660 and 45679 and find the biggest common factor number .

Step-1: Prime Factorization of 45660

Prime factors of 45660 are 2, 3, 5, 761. Prime factorization of 45660 in exponential form is:

45660 = 2² × 3¹ × 5¹ × 761¹

Step-2: Prime Factorization of 45679

Prime factors of 45679 are 17, 2687. Prime factorization of 45679 in exponential form is:

45679 = 17¹ × 2687¹

Step-3: Factors of 45660

List of positive integer factors of 45660 that divides 45660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 761, 1522, 2283, 3044, 3805, 4566, 7610, 9132, 11415, 15220, 22830

Step-4: Factors of 45679

List of positive integer factors of 45679 that divides 45660 without a remainder.

1, 17, 2687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45660 and 45679. The biggest common factor number is the GCF number.
So the greatest common factor 45660 and 45679 is 1.

Also check out the Least Common Multiple of 45660 and 45679