What is the Greatest Common Factor of 80825 and 80835?

Greatest common factor (GCF) of 80825 and 80835 is 5.

GCF(80825,80835) = 5

We will now calculate the prime factors of 80825 and 80835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80825 and 80835.

How to find the GCF of 80825 and 80835?

We will first find the prime factorization of 80825 and 80835. After we will calculate the factors of 80825 and 80835 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 80835

Prime factors of 80835 are 3, 5, 17, 317. Prime factorization of 80835 in exponential form is:

80835 = 3¹ × 5¹ × 17¹ × 317¹

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 80835

List of positive integer factors of 80835 that divides 80825 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 317, 951, 1585, 4755, 5389, 16167, 26945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80825 and 80835. The biggest common factor number is the GCF number.
So the greatest common factor 80825 and 80835 is 5.

Also check out the Least Common Multiple of 80825 and 80835