What is the Greatest Common Factor of 50666 and 50678?

Greatest common factor (GCF) of 50666 and 50678 is 2.

GCF(50666,50678) = 2

We will now calculate the prime factors of 50666 and 50678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50666 and 50678.

How to find the GCF of 50666 and 50678?

We will first find the prime factorization of 50666 and 50678. After we will calculate the factors of 50666 and 50678 and find the biggest common factor number .

Step-1: Prime Factorization of 50666

Prime factors of 50666 are 2, 7, 11, 47. Prime factorization of 50666 in exponential form is:

50666 = 2¹ × 7² × 11¹ × 47¹

Step-2: Prime Factorization of 50678

Prime factors of 50678 are 2, 25339. Prime factorization of 50678 in exponential form is:

50678 = 2¹ × 25339¹

Step-3: Factors of 50666

List of positive integer factors of 50666 that divides 50666 without a remainder.

1, 2, 7, 11, 14, 22, 47, 49, 77, 94, 98, 154, 329, 517, 539, 658, 1034, 1078, 2303, 3619, 4606, 7238, 25333

Step-4: Factors of 50678

List of positive integer factors of 50678 that divides 50666 without a remainder.

1, 2, 25339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50666 and 50678. The biggest common factor number is the GCF number.
So the greatest common factor 50666 and 50678 is 2.

Also check out the Least Common Multiple of 50666 and 50678