What is the Greatest Common Factor of 80825 and 80833?

Greatest common factor (GCF) of 80825 and 80833 is 1.

GCF(80825,80833) = 1

We will now calculate the prime factors of 80825 and 80833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80825 and 80833.

How to find the GCF of 80825 and 80833?

We will first find the prime factorization of 80825 and 80833. After we will calculate the factors of 80825 and 80833 and find the biggest common factor number .

Step-1: Prime Factorization of 80825

Prime factors of 80825 are 5, 53, 61. Prime factorization of 80825 in exponential form is:

80825 = 5² × 53¹ × 61¹

Step-2: Prime Factorization of 80833

Prime factors of 80833 are 80833. Prime factorization of 80833 in exponential form is:

80833 = 80833¹

Step-3: Factors of 80825

List of positive integer factors of 80825 that divides 80825 without a remainder.

1, 5, 25, 53, 61, 265, 305, 1325, 1525, 3233, 16165

Step-4: Factors of 80833

List of positive integer factors of 80833 that divides 80825 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80825 and 80833. The biggest common factor number is the GCF number.
So the greatest common factor 80825 and 80833 is 1.

Also check out the Least Common Multiple of 80825 and 80833