What is the Greatest Common Factor of 49050 and 49059?

Greatest common factor (GCF) of 49050 and 49059 is 9.

GCF(49050,49059) = 9

We will now calculate the prime factors of 49050 and 49059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49050 and 49059.

How to find the GCF of 49050 and 49059?

We will first find the prime factorization of 49050 and 49059. After we will calculate the factors of 49050 and 49059 and find the biggest common factor number .

Step-1: Prime Factorization of 49050

Prime factors of 49050 are 2, 3, 5, 109. Prime factorization of 49050 in exponential form is:

49050 = 2¹ × 3² × 5² × 109¹

Step-2: Prime Factorization of 49059

Prime factors of 49059 are 3, 23, 79. Prime factorization of 49059 in exponential form is:

49059 = 3³ × 23¹ × 79¹

Step-3: Factors of 49050

List of positive integer factors of 49050 that divides 49050 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 109, 150, 218, 225, 327, 450, 545, 654, 981, 1090, 1635, 1962, 2725, 3270, 4905, 5450, 8175, 9810, 16350, 24525

Step-4: Factors of 49059

List of positive integer factors of 49059 that divides 49050 without a remainder.

1, 3, 9, 23, 27, 69, 79, 207, 237, 621, 711, 1817, 2133, 5451, 16353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49050 and 49059. The biggest common factor number is the GCF number.
So the greatest common factor 49050 and 49059 is 9.

Also check out the Least Common Multiple of 49050 and 49059