What is the Greatest Common Factor of 66856 and 66871?

Greatest common factor (GCF) of 66856 and 66871 is 1.

GCF(66856,66871) = 1

We will now calculate the prime factors of 66856 and 66871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66856 and 66871.

How to find the GCF of 66856 and 66871?

We will first find the prime factorization of 66856 and 66871. After we will calculate the factors of 66856 and 66871 and find the biggest common factor number .

Step-1: Prime Factorization of 66856

Prime factors of 66856 are 2, 61, 137. Prime factorization of 66856 in exponential form is:

66856 = 2³ × 61¹ × 137¹

Step-2: Prime Factorization of 66871

Prime factors of 66871 are 7, 41, 233. Prime factorization of 66871 in exponential form is:

66871 = 7¹ × 41¹ × 233¹

Step-3: Factors of 66856

List of positive integer factors of 66856 that divides 66856 without a remainder.

1, 2, 4, 8, 61, 122, 137, 244, 274, 488, 548, 1096, 8357, 16714, 33428

Step-4: Factors of 66871

List of positive integer factors of 66871 that divides 66856 without a remainder.

1, 7, 41, 233, 287, 1631, 9553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66856 and 66871. The biggest common factor number is the GCF number.
So the greatest common factor 66856 and 66871 is 1.

Also check out the Least Common Multiple of 66856 and 66871