What is the Greatest Common Factor of 50949 and 50965?

Greatest common factor (GCF) of 50949 and 50965 is 1.

GCF(50949,50965) = 1

We will now calculate the prime factors of 50949 and 50965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50949 and 50965.

How to find the GCF of 50949 and 50965?

We will first find the prime factorization of 50949 and 50965. After we will calculate the factors of 50949 and 50965 and find the biggest common factor number .

Step-1: Prime Factorization of 50949

Prime factors of 50949 are 3, 17, 37. Prime factorization of 50949 in exponential form is:

50949 = 3⁴ × 17¹ × 37¹

Step-2: Prime Factorization of 50965

Prime factors of 50965 are 5, 10193. Prime factorization of 50965 in exponential form is:

50965 = 5¹ × 10193¹

Step-3: Factors of 50949

List of positive integer factors of 50949 that divides 50949 without a remainder.

1, 3, 9, 17, 27, 37, 51, 81, 111, 153, 333, 459, 629, 999, 1377, 1887, 2997, 5661, 16983

Step-4: Factors of 50965

List of positive integer factors of 50965 that divides 50949 without a remainder.

1, 5, 10193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50949 and 50965. The biggest common factor number is the GCF number.
So the greatest common factor 50949 and 50965 is 1.

Also check out the Least Common Multiple of 50949 and 50965