What is the Greatest Common Factor of 50666 and 50677?

Greatest common factor (GCF) of 50666 and 50677 is 11.

GCF(50666,50677) = 11

We will now calculate the prime factors of 50666 and 50677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50666 and 50677.

How to find the GCF of 50666 and 50677?

We will first find the prime factorization of 50666 and 50677. After we will calculate the factors of 50666 and 50677 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 50677

Prime factors of 50677 are 11, 17, 271. Prime factorization of 50677 in exponential form is:

50677 = 11¹ × 17¹ × 271¹

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 50677

List of positive integer factors of 50677 that divides 50666 without a remainder.

1, 11, 17, 187, 271, 2981, 4607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50666 and 50677. The biggest common factor number is the GCF number.
So the greatest common factor 50666 and 50677 is 11.

Also check out the Least Common Multiple of 50666 and 50677