What is the Greatest Common Factor of 49005 and 49017?

Greatest common factor (GCF) of 49005 and 49017 is 3.

GCF(49005,49017) = 3

We will now calculate the prime factors of 49005 and 49017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49005 and 49017.

How to find the GCF of 49005 and 49017?

We will first find the prime factorization of 49005 and 49017. After we will calculate the factors of 49005 and 49017 and find the biggest common factor number .

Step-1: Prime Factorization of 49005

Prime factors of 49005 are 3, 5, 11. Prime factorization of 49005 in exponential form is:

49005 = 3⁴ × 5¹ × 11²

Step-2: Prime Factorization of 49017

Prime factors of 49017 are 3, 16339. Prime factorization of 49017 in exponential form is:

49017 = 3¹ × 16339¹

Step-3: Factors of 49005

List of positive integer factors of 49005 that divides 49005 without a remainder.

1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 81, 99, 121, 135, 165, 297, 363, 405, 495, 605, 891, 1089, 1485, 1815, 3267, 4455, 5445, 9801, 16335

Step-4: Factors of 49017

List of positive integer factors of 49017 that divides 49005 without a remainder.

1, 3, 16339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49005 and 49017. The biggest common factor number is the GCF number.
So the greatest common factor 49005 and 49017 is 3.

Also check out the Least Common Multiple of 49005 and 49017