What is the Greatest Common Factor of 4950 and 4961?

Greatest common factor (GCF) of 4950 and 4961 is 11.

GCF(4950,4961) = 11

We will now calculate the prime factors of 4950 and 4961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4950 and 4961.

How to find the GCF of 4950 and 4961?

We will first find the prime factorization of 4950 and 4961. After we will calculate the factors of 4950 and 4961 and find the biggest common factor number .

Step-1: Prime Factorization of 4950

Prime factors of 4950 are 2, 3, 5, 11. Prime factorization of 4950 in exponential form is:

4950 = 2¹ × 3² × 5² × 11¹

Step-2: Prime Factorization of 4961

Prime factors of 4961 are 11, 41. Prime factorization of 4961 in exponential form is:

4961 = 11² × 41¹

Step-3: Factors of 4950

List of positive integer factors of 4950 that divides 4950 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475

Step-4: Factors of 4961

List of positive integer factors of 4961 that divides 4950 without a remainder.

1, 11, 41, 121, 451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4950 and 4961. The biggest common factor number is the GCF number.
So the greatest common factor 4950 and 4961 is 11.

Also check out the Least Common Multiple of 4950 and 4961