What is the Greatest Common Factor of 80825 and 80838?

Greatest common factor (GCF) of 80825 and 80838 is 1.

GCF(80825,80838) = 1

We will now calculate the prime factors of 80825 and 80838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80825 and 80838.

How to find the GCF of 80825 and 80838?

We will first find the prime factorization of 80825 and 80838. After we will calculate the factors of 80825 and 80838 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 80838

Prime factors of 80838 are 2, 3, 499. Prime factorization of 80838 in exponential form is:

80838 = 2¹ × 3⁴ × 499¹

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 80838

List of positive integer factors of 80838 that divides 80825 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 499, 998, 1497, 2994, 4491, 8982, 13473, 26946, 40419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80825 and 80838. The biggest common factor number is the GCF number.
So the greatest common factor 80825 and 80838 is 1.

Also check out the Least Common Multiple of 80825 and 80838