What is the Greatest Common Factor of 49805 and 49825?

Greatest common factor (GCF) of 49805 and 49825 is 5.

GCF(49805,49825) = 5

We will now calculate the prime factors of 49805 and 49825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49805 and 49825.

How to find the GCF of 49805 and 49825?

We will first find the prime factorization of 49805 and 49825. After we will calculate the factors of 49805 and 49825 and find the biggest common factor number .

Step-1: Prime Factorization of 49805

Prime factors of 49805 are 5, 7, 1423. Prime factorization of 49805 in exponential form is:

49805 = 5¹ × 7¹ × 1423¹

Step-2: Prime Factorization of 49825

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

49825 = 5² × 1993¹

Step-3: Factors of 49805

List of positive integer factors of 49805 that divides 49805 without a remainder.

1, 5, 7, 35, 1423, 7115, 9961

Step-4: Factors of 49825

List of positive integer factors of 49825 that divides 49805 without a remainder.

1, 5, 25, 1993, 9965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49805 and 49825. The biggest common factor number is the GCF number.
So the greatest common factor 49805 and 49825 is 5.

Also check out the Least Common Multiple of 49805 and 49825