What is the Greatest Common Factor of 50775 and 50787?

Greatest common factor (GCF) of 50775 and 50787 is 3.

GCF(50775,50787) = 3

We will now calculate the prime factors of 50775 and 50787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50775 and 50787.

How to find the GCF of 50775 and 50787?

We will first find the prime factorization of 50775 and 50787. After we will calculate the factors of 50775 and 50787 and find the biggest common factor number .

Step-1: Prime Factorization of 50775

Prime factors of 50775 are 3, 5, 677. Prime factorization of 50775 in exponential form is:

50775 = 3¹ × 5² × 677¹

Step-2: Prime Factorization of 50787

Prime factors of 50787 are 3, 11, 19. Prime factorization of 50787 in exponential form is:

50787 = 3⁵ × 11¹ × 19¹

Step-3: Factors of 50775

List of positive integer factors of 50775 that divides 50775 without a remainder.

1, 3, 5, 15, 25, 75, 677, 2031, 3385, 10155, 16925

Step-4: Factors of 50787

List of positive integer factors of 50787 that divides 50775 without a remainder.

1, 3, 9, 11, 19, 27, 33, 57, 81, 99, 171, 209, 243, 297, 513, 627, 891, 1539, 1881, 2673, 4617, 5643, 16929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50775 and 50787. The biggest common factor number is the GCF number.
So the greatest common factor 50775 and 50787 is 3.

Also check out the Least Common Multiple of 50775 and 50787