What is the Greatest Common Factor of 48598 and 48609?

Greatest common factor (GCF) of 48598 and 48609 is 11.

GCF(48598,48609) = 11

We will now calculate the prime factors of 48598 and 48609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48598 and 48609.

How to find the GCF of 48598 and 48609?

We will first find the prime factorization of 48598 and 48609. After we will calculate the factors of 48598 and 48609 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48609

Prime factors of 48609 are 3, 11, 491. Prime factorization of 48609 in exponential form is:

48609 = 3² × 11¹ × 491¹

Step-3: Factors of 48598

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

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

Step-4: Factors of 48609

List of positive integer factors of 48609 that divides 48598 without a remainder.

1, 3, 9, 11, 33, 99, 491, 1473, 4419, 5401, 16203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48598 and 48609. The biggest common factor number is the GCF number.
So the greatest common factor 48598 and 48609 is 11.

Also check out the Least Common Multiple of 48598 and 48609