What is the Greatest Common Factor of 48350 and 48355?

Greatest common factor (GCF) of 48350 and 48355 is 5.

GCF(48350,48355) = 5

We will now calculate the prime factors of 48350 and 48355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48350 and 48355.

How to find the GCF of 48350 and 48355?

We will first find the prime factorization of 48350 and 48355. After we will calculate the factors of 48350 and 48355 and find the biggest common factor number .

Step-1: Prime Factorization of 48350

Prime factors of 48350 are 2, 5, 967. Prime factorization of 48350 in exponential form is:

48350 = 2¹ × 5² × 967¹

Step-2: Prime Factorization of 48355

Prime factors of 48355 are 5, 19, 509. Prime factorization of 48355 in exponential form is:

48355 = 5¹ × 19¹ × 509¹

Step-3: Factors of 48350

List of positive integer factors of 48350 that divides 48350 without a remainder.

1, 2, 5, 10, 25, 50, 967, 1934, 4835, 9670, 24175

Step-4: Factors of 48355

List of positive integer factors of 48355 that divides 48350 without a remainder.

1, 5, 19, 95, 509, 2545, 9671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48350 and 48355. The biggest common factor number is the GCF number.
So the greatest common factor 48350 and 48355 is 5.

Also check out the Least Common Multiple of 48350 and 48355