What is the Greatest Common Factor of 67805 and 67825?

Greatest common factor (GCF) of 67805 and 67825 is 5.

GCF(67805,67825) = 5

We will now calculate the prime factors of 67805 and 67825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67805 and 67825.

How to find the GCF of 67805 and 67825?

We will first find the prime factorization of 67805 and 67825. After we will calculate the factors of 67805 and 67825 and find the biggest common factor number .

Step-1: Prime Factorization of 67805

Prime factors of 67805 are 5, 71, 191. Prime factorization of 67805 in exponential form is:

67805 = 5¹ × 71¹ × 191¹

Step-2: Prime Factorization of 67825

Prime factors of 67825 are 5, 2713. Prime factorization of 67825 in exponential form is:

67825 = 5² × 2713¹

Step-3: Factors of 67805

List of positive integer factors of 67805 that divides 67805 without a remainder.

1, 5, 71, 191, 355, 955, 13561

Step-4: Factors of 67825

List of positive integer factors of 67825 that divides 67805 without a remainder.

1, 5, 25, 2713, 13565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67805 and 67825. The biggest common factor number is the GCF number.
So the greatest common factor 67805 and 67825 is 5.

Also check out the Least Common Multiple of 67805 and 67825