What is the Greatest Common Factor of 49825 and 49829?

Greatest common factor (GCF) of 49825 and 49829 is 1.

GCF(49825,49829) = 1

We will now calculate the prime factors of 49825 and 49829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49825 and 49829.

How to find the GCF of 49825 and 49829?

We will first find the prime factorization of 49825 and 49829. After we will calculate the factors of 49825 and 49829 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 49829

Prime factors of 49829 are 13, 3833. Prime factorization of 49829 in exponential form is:

49829 = 13¹ × 3833¹

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 49829

List of positive integer factors of 49829 that divides 49825 without a remainder.

1, 13, 3833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49825 and 49829. The biggest common factor number is the GCF number.
So the greatest common factor 49825 and 49829 is 1.

Also check out the Least Common Multiple of 49825 and 49829