What is the Greatest Common Factor of 49000 and 49005?

Greatest common factor (GCF) of 49000 and 49005 is 5.

GCF(49000,49005) = 5

We will now calculate the prime factors of 49000 and 49005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49000 and 49005.

How to find the GCF of 49000 and 49005?

We will first find the prime factorization of 49000 and 49005. After we will calculate the factors of 49000 and 49005 and find the biggest common factor number .

Step-1: Prime Factorization of 49000

Prime factors of 49000 are 2, 5, 7. Prime factorization of 49000 in exponential form is:

49000 = 2³ × 5³ × 7²

Step-2: 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-3: Factors of 49000

List of positive integer factors of 49000 that divides 49000 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 125, 140, 175, 196, 200, 245, 250, 280, 350, 392, 490, 500, 700, 875, 980, 1000, 1225, 1400, 1750, 1960, 2450, 3500, 4900, 6125, 7000, 9800, 12250, 24500

Step-4: Factors of 49005

List of positive integer factors of 49005 that divides 49000 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49000 and 49005. The biggest common factor number is the GCF number.
So the greatest common factor 49000 and 49005 is 5.

Also check out the Least Common Multiple of 49000 and 49005