What is the Greatest Common Factor of 49005 and 49025?

Greatest common factor (GCF) of 49005 and 49025 is 5.

GCF(49005,49025) = 5

We will now calculate the prime factors of 49005 and 49025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49005 and 49025.

How to find the GCF of 49005 and 49025?

We will first find the prime factorization of 49005 and 49025. After we will calculate the factors of 49005 and 49025 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 49025

Prime factors of 49025 are 5, 37, 53. Prime factorization of 49025 in exponential form is:

49025 = 5² × 37¹ × 53¹

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 49025

List of positive integer factors of 49025 that divides 49005 without a remainder.

1, 5, 25, 37, 53, 185, 265, 925, 1325, 1961, 9805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49005 and 49025. The biggest common factor number is the GCF number.
So the greatest common factor 49005 and 49025 is 5.

Also check out the Least Common Multiple of 49005 and 49025