What is the Greatest Common Factor of 48578 and 48598?

Greatest common factor (GCF) of 48578 and 48598 is 2.

GCF(48578,48598) = 2

We will now calculate the prime factors of 48578 and 48598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48578 and 48598.

How to find the GCF of 48578 and 48598?

We will first find the prime factorization of 48578 and 48598. After we will calculate the factors of 48578 and 48598 and find the biggest common factor number .

Step-1: Prime Factorization of 48578

Prime factors of 48578 are 2, 107, 227. Prime factorization of 48578 in exponential form is:

48578 = 2¹ × 107¹ × 227¹

Step-2: Prime Factorization of 48598

Prime factors of 48598 are 2, 11, 47. Prime factorization of 48598 in exponential form is:

48598 = 2¹ × 11¹ × 47²

Step-3: Factors of 48578

List of positive integer factors of 48578 that divides 48578 without a remainder.

1, 2, 107, 214, 227, 454, 24289

Step-4: Factors of 48598

List of positive integer factors of 48598 that divides 48578 without a remainder.

1, 2, 11, 22, 47, 94, 517, 1034, 2209, 4418, 24299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48578 and 48598. The biggest common factor number is the GCF number.
So the greatest common factor 48578 and 48598 is 2.

Also check out the Least Common Multiple of 48578 and 48598