What is the Greatest Common Factor of 50685 and 50697?

Greatest common factor (GCF) of 50685 and 50697 is 3.

GCF(50685,50697) = 3

We will now calculate the prime factors of 50685 and 50697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50685 and 50697.

How to find the GCF of 50685 and 50697?

We will first find the prime factorization of 50685 and 50697. After we will calculate the factors of 50685 and 50697 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 50697

Prime factors of 50697 are 3, 43, 131. Prime factorization of 50697 in exponential form is:

50697 = 3² × 43¹ × 131¹

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 50697

List of positive integer factors of 50697 that divides 50685 without a remainder.

1, 3, 9, 43, 129, 131, 387, 393, 1179, 5633, 16899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50685 and 50697. The biggest common factor number is the GCF number.
So the greatest common factor 50685 and 50697 is 3.

Also check out the Least Common Multiple of 50685 and 50697