What is the Greatest Common Factor of 48950 and 48955?

Greatest common factor (GCF) of 48950 and 48955 is 5.

GCF(48950,48955) = 5

We will now calculate the prime factors of 48950 and 48955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48950 and 48955.

How to find the GCF of 48950 and 48955?

We will first find the prime factorization of 48950 and 48955. After we will calculate the factors of 48950 and 48955 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 48955

Prime factors of 48955 are 5, 9791. Prime factorization of 48955 in exponential form is:

48955 = 5¹ × 9791¹

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 48955

List of positive integer factors of 48955 that divides 48950 without a remainder.

1, 5, 9791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48950 and 48955. The biggest common factor number is the GCF number.
So the greatest common factor 48950 and 48955 is 5.

Also check out the Least Common Multiple of 48950 and 48955