What is the Greatest Common Factor of 50775 and 50785?

Greatest common factor (GCF) of 50775 and 50785 is 5.

GCF(50775,50785) = 5

We will now calculate the prime factors of 50775 and 50785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50775 and 50785.

How to find the GCF of 50775 and 50785?

We will first find the prime factorization of 50775 and 50785. After we will calculate the factors of 50775 and 50785 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 50785

Prime factors of 50785 are 5, 7, 1451. Prime factorization of 50785 in exponential form is:

50785 = 5¹ × 7¹ × 1451¹

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 50785

List of positive integer factors of 50785 that divides 50775 without a remainder.

1, 5, 7, 35, 1451, 7255, 10157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50775 and 50785. The biggest common factor number is the GCF number.
So the greatest common factor 50775 and 50785 is 5.

Also check out the Least Common Multiple of 50775 and 50785