What is the Greatest Common Factor of 66760 and 66775?

Greatest common factor (GCF) of 66760 and 66775 is 5.

GCF(66760,66775) = 5

We will now calculate the prime factors of 66760 and 66775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66760 and 66775.

How to find the GCF of 66760 and 66775?

We will first find the prime factorization of 66760 and 66775. After we will calculate the factors of 66760 and 66775 and find the biggest common factor number .

Step-1: Prime Factorization of 66760

Prime factors of 66760 are 2, 5, 1669. Prime factorization of 66760 in exponential form is:

66760 = 2³ × 5¹ × 1669¹

Step-2: Prime Factorization of 66775

Prime factors of 66775 are 5, 2671. Prime factorization of 66775 in exponential form is:

66775 = 5² × 2671¹

Step-3: Factors of 66760

List of positive integer factors of 66760 that divides 66760 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1669, 3338, 6676, 8345, 13352, 16690, 33380

Step-4: Factors of 66775

List of positive integer factors of 66775 that divides 66760 without a remainder.

1, 5, 25, 2671, 13355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66760 and 66775. The biggest common factor number is the GCF number.
So the greatest common factor 66760 and 66775 is 5.

Also check out the Least Common Multiple of 66760 and 66775