What is the Greatest Common Factor of 48994 and 49005?

Greatest common factor (GCF) of 48994 and 49005 is 11.

GCF(48994,49005) = 11

We will now calculate the prime factors of 48994 and 49005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48994 and 49005.

How to find the GCF of 48994 and 49005?

We will first find the prime factorization of 48994 and 49005. After we will calculate the factors of 48994 and 49005 and find the biggest common factor number .

Step-1: Prime Factorization of 48994

Prime factors of 48994 are 2, 11, 17, 131. Prime factorization of 48994 in exponential form is:

48994 = 2¹ × 11¹ × 17¹ × 131¹

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 48994

List of positive integer factors of 48994 that divides 48994 without a remainder.

1, 2, 11, 17, 22, 34, 131, 187, 262, 374, 1441, 2227, 2882, 4454, 24497

Step-4: Factors of 49005

List of positive integer factors of 49005 that divides 48994 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 48994 and 49005. The biggest common factor number is the GCF number.
So the greatest common factor 48994 and 49005 is 11.

Also check out the Least Common Multiple of 48994 and 49005