What is the Greatest Common Factor of 48950 and 48961?

Greatest common factor (GCF) of 48950 and 48961 is 11.

GCF(48950,48961) = 11

We will now calculate the prime factors of 48950 and 48961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48950 and 48961.

How to find the GCF of 48950 and 48961?

We will first find the prime factorization of 48950 and 48961. After we will calculate the factors of 48950 and 48961 and find the biggest common factor number .

Step-1: Prime Factorization of 48950

Prime factors of 48950 are 2, 5, 11, 89. Prime factorization of 48950 in exponential form is:

48950 = 2¹ × 5² × 11¹ × 89¹

Step-2: Prime Factorization of 48961

Prime factors of 48961 are 11, 4451. Prime factorization of 48961 in exponential form is:

48961 = 11¹ × 4451¹

Step-3: Factors of 48950

List of positive integer factors of 48950 that divides 48950 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 89, 110, 178, 275, 445, 550, 890, 979, 1958, 2225, 4450, 4895, 9790, 24475

Step-4: Factors of 48961

List of positive integer factors of 48961 that divides 48950 without a remainder.

1, 11, 4451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48950 and 48961. The biggest common factor number is the GCF number.
So the greatest common factor 48950 and 48961 is 11.

Also check out the Least Common Multiple of 48950 and 48961