What is the Greatest Common Factor of 48939 and 48950?

Greatest common factor (GCF) of 48939 and 48950 is 11.

GCF(48939,48950) = 11

We will now calculate the prime factors of 48939 and 48950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48939 and 48950.

How to find the GCF of 48939 and 48950?

We will first find the prime factorization of 48939 and 48950. After we will calculate the factors of 48939 and 48950 and find the biggest common factor number .

Step-1: Prime Factorization of 48939

Prime factors of 48939 are 3, 11, 1483. Prime factorization of 48939 in exponential form is:

48939 = 3¹ × 11¹ × 1483¹

Step-2: 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-3: Factors of 48939

List of positive integer factors of 48939 that divides 48939 without a remainder.

1, 3, 11, 33, 1483, 4449, 16313

Step-4: Factors of 48950

List of positive integer factors of 48950 that divides 48939 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48939 and 48950. The biggest common factor number is the GCF number.
So the greatest common factor 48939 and 48950 is 11.

Also check out the Least Common Multiple of 48939 and 48950