What is the Greatest Common Factor of 80825 and 80834?

Greatest common factor (GCF) of 80825 and 80834 is 1.

GCF(80825,80834) = 1

We will now calculate the prime factors of 80825 and 80834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80825 and 80834.

How to find the GCF of 80825 and 80834?

We will first find the prime factorization of 80825 and 80834. After we will calculate the factors of 80825 and 80834 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 80834

Prime factors of 80834 are 2, 13, 3109. Prime factorization of 80834 in exponential form is:

80834 = 2¹ × 13¹ × 3109¹

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 80834

List of positive integer factors of 80834 that divides 80825 without a remainder.

1, 2, 13, 26, 3109, 6218, 40417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80825 and 80834. The biggest common factor number is the GCF number.
So the greatest common factor 80825 and 80834 is 1.

Also check out the Least Common Multiple of 80825 and 80834