What is the Greatest Common Factor of 86807 and 86825?

Greatest common factor (GCF) of 86807 and 86825 is 1.

GCF(86807,86825) = 1

We will now calculate the prime factors of 86807 and 86825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86807 and 86825.

How to find the GCF of 86807 and 86825?

We will first find the prime factorization of 86807 and 86825. After we will calculate the factors of 86807 and 86825 and find the biggest common factor number .

Step-1: Prime Factorization of 86807

Prime factors of 86807 are 7, 12401. Prime factorization of 86807 in exponential form is:

86807 = 7¹ × 12401¹

Step-2: Prime Factorization of 86825

Prime factors of 86825 are 5, 23, 151. Prime factorization of 86825 in exponential form is:

86825 = 5² × 23¹ × 151¹

Step-3: Factors of 86807

List of positive integer factors of 86807 that divides 86807 without a remainder.

1, 7, 12401

Step-4: Factors of 86825

List of positive integer factors of 86825 that divides 86807 without a remainder.

1, 5, 23, 25, 115, 151, 575, 755, 3473, 3775, 17365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86807 and 86825. The biggest common factor number is the GCF number.
So the greatest common factor 86807 and 86825 is 1.

Also check out the Least Common Multiple of 86807 and 86825