What is the Greatest Common Factor of 49005 and 49020?

Greatest common factor (GCF) of 49005 and 49020 is 15.

GCF(49005,49020) = 15

We will now calculate the prime factors of 49005 and 49020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49005 and 49020.

How to find the GCF of 49005 and 49020?

We will first find the prime factorization of 49005 and 49020. After we will calculate the factors of 49005 and 49020 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 49020

Prime factors of 49020 are 2, 3, 5, 19, 43. Prime factorization of 49020 in exponential form is:

49020 = 2² × 3¹ × 5¹ × 19¹ × 43¹

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 49020

List of positive integer factors of 49020 that divides 49005 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 43, 57, 60, 76, 86, 95, 114, 129, 172, 190, 215, 228, 258, 285, 380, 430, 516, 570, 645, 817, 860, 1140, 1290, 1634, 2451, 2580, 3268, 4085, 4902, 8170, 9804, 12255, 16340, 24510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49005 and 49020. The biggest common factor number is the GCF number.
So the greatest common factor 49005 and 49020 is 15.

Also check out the Least Common Multiple of 49005 and 49020