What is the Greatest Common Factor of 50685 and 50691?

Greatest common factor (GCF) of 50685 and 50691 is 3.

GCF(50685,50691) = 3

We will now calculate the prime factors of 50685 and 50691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50685 and 50691.

How to find the GCF of 50685 and 50691?

We will first find the prime factorization of 50685 and 50691. After we will calculate the factors of 50685 and 50691 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 50691

Prime factors of 50691 are 3, 61, 277. Prime factorization of 50691 in exponential form is:

50691 = 3¹ × 61¹ × 277¹

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 50691

List of positive integer factors of 50691 that divides 50685 without a remainder.

1, 3, 61, 183, 277, 831, 16897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50685 and 50691. The biggest common factor number is the GCF number.
So the greatest common factor 50685 and 50691 is 3.

Also check out the Least Common Multiple of 50685 and 50691