What is the Greatest Common Factor of 66887 and 66902?

Greatest common factor (GCF) of 66887 and 66902 is 1.

GCF(66887,66902) = 1

We will now calculate the prime factors of 66887 and 66902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66887 and 66902.

How to find the GCF of 66887 and 66902?

We will first find the prime factorization of 66887 and 66902. After we will calculate the factors of 66887 and 66902 and find the biggest common factor number .

Step-1: Prime Factorization of 66887

Prime factors of 66887 are 211, 317. Prime factorization of 66887 in exponential form is:

66887 = 211¹ × 317¹

Step-2: Prime Factorization of 66902

Prime factors of 66902 are 2, 11, 3041. Prime factorization of 66902 in exponential form is:

66902 = 2¹ × 11¹ × 3041¹

Step-3: Factors of 66887

List of positive integer factors of 66887 that divides 66887 without a remainder.

1, 211, 317

Step-4: Factors of 66902

List of positive integer factors of 66902 that divides 66887 without a remainder.

1, 2, 11, 22, 3041, 6082, 33451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66887 and 66902. The biggest common factor number is the GCF number.
So the greatest common factor 66887 and 66902 is 1.

Also check out the Least Common Multiple of 66887 and 66902