What is the Greatest Common Factor of 66665 and 66680?

Greatest common factor (GCF) of 66665 and 66680 is 5.

GCF(66665,66680) = 5

We will now calculate the prime factors of 66665 and 66680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66665 and 66680.

How to find the GCF of 66665 and 66680?

We will first find the prime factorization of 66665 and 66680. After we will calculate the factors of 66665 and 66680 and find the biggest common factor number .

Step-1: Prime Factorization of 66665

Prime factors of 66665 are 5, 67, 199. Prime factorization of 66665 in exponential form is:

66665 = 5¹ × 67¹ × 199¹

Step-2: Prime Factorization of 66680

Prime factors of 66680 are 2, 5, 1667. Prime factorization of 66680 in exponential form is:

66680 = 2³ × 5¹ × 1667¹

Step-3: Factors of 66665

List of positive integer factors of 66665 that divides 66665 without a remainder.

1, 5, 67, 199, 335, 995, 13333

Step-4: Factors of 66680

List of positive integer factors of 66680 that divides 66665 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1667, 3334, 6668, 8335, 13336, 16670, 33340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66665 and 66680. The biggest common factor number is the GCF number.
So the greatest common factor 66665 and 66680 is 5.

Also check out the Least Common Multiple of 66665 and 66680