What is the Greatest Common Factor of 49825 and 49830?

Greatest common factor (GCF) of 49825 and 49830 is 5.

GCF(49825,49830) = 5

We will now calculate the prime factors of 49825 and 49830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49825 and 49830.

How to find the GCF of 49825 and 49830?

We will first find the prime factorization of 49825 and 49830. After we will calculate the factors of 49825 and 49830 and find the biggest common factor number .

Step-1: Prime Factorization of 49825

Prime factors of 49825 are 5, 1993. Prime factorization of 49825 in exponential form is:

49825 = 5² × 1993¹

Step-2: Prime Factorization of 49830

Prime factors of 49830 are 2, 3, 5, 11, 151. Prime factorization of 49830 in exponential form is:

49830 = 2¹ × 3¹ × 5¹ × 11¹ × 151¹

Step-3: Factors of 49825

List of positive integer factors of 49825 that divides 49825 without a remainder.

1, 5, 25, 1993, 9965

Step-4: Factors of 49830

List of positive integer factors of 49830 that divides 49825 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 151, 165, 302, 330, 453, 755, 906, 1510, 1661, 2265, 3322, 4530, 4983, 8305, 9966, 16610, 24915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49825 and 49830. The biggest common factor number is the GCF number.
So the greatest common factor 49825 and 49830 is 5.

Also check out the Least Common Multiple of 49825 and 49830