What is the Greatest Common Factor of 50973 and 50985?

Greatest common factor (GCF) of 50973 and 50985 is 3.

GCF(50973,50985) = 3

We will now calculate the prime factors of 50973 and 50985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50973 and 50985.

How to find the GCF of 50973 and 50985?

We will first find the prime factorization of 50973 and 50985. After we will calculate the factors of 50973 and 50985 and find the biggest common factor number .

Step-1: Prime Factorization of 50973

Prime factors of 50973 are 3, 13, 1307. Prime factorization of 50973 in exponential form is:

50973 = 3¹ × 13¹ × 1307¹

Step-2: Prime Factorization of 50985

Prime factors of 50985 are 3, 5, 11, 103. Prime factorization of 50985 in exponential form is:

50985 = 3² × 5¹ × 11¹ × 103¹

Step-3: Factors of 50973

List of positive integer factors of 50973 that divides 50973 without a remainder.

1, 3, 13, 39, 1307, 3921, 16991

Step-4: Factors of 50985

List of positive integer factors of 50985 that divides 50973 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 103, 165, 309, 495, 515, 927, 1133, 1545, 3399, 4635, 5665, 10197, 16995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50973 and 50985. The biggest common factor number is the GCF number.
So the greatest common factor 50973 and 50985 is 3.

Also check out the Least Common Multiple of 50973 and 50985