What is the Greatest Common Factor of 50685 and 50695?

Greatest common factor (GCF) of 50685 and 50695 is 5.

GCF(50685,50695) = 5

We will now calculate the prime factors of 50685 and 50695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50685 and 50695.

How to find the GCF of 50685 and 50695?

We will first find the prime factorization of 50685 and 50695. After we will calculate the factors of 50685 and 50695 and find the biggest common factor number .

Step-1: Prime Factorization of 50685

Prime factors of 50685 are 3, 5, 31, 109. Prime factorization of 50685 in exponential form is:

50685 = 3¹ × 5¹ × 31¹ × 109¹

Step-2: Prime Factorization of 50695

Prime factors of 50695 are 5, 10139. Prime factorization of 50695 in exponential form is:

50695 = 5¹ × 10139¹

Step-3: Factors of 50685

List of positive integer factors of 50685 that divides 50685 without a remainder.

1, 3, 5, 15, 31, 93, 109, 155, 327, 465, 545, 1635, 3379, 10137, 16895

Step-4: Factors of 50695

List of positive integer factors of 50695 that divides 50685 without a remainder.

1, 5, 10139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50685 and 50695. The biggest common factor number is the GCF number.
So the greatest common factor 50685 and 50695 is 5.

Also check out the Least Common Multiple of 50685 and 50695