What is the Greatest Common Factor of 86207 and 86225?

Greatest common factor (GCF) of 86207 and 86225 is 1.

GCF(86207,86225) = 1

We will now calculate the prime factors of 86207 and 86225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86207 and 86225.

How to find the GCF of 86207 and 86225?

We will first find the prime factorization of 86207 and 86225. After we will calculate the factors of 86207 and 86225 and find the biggest common factor number .

Step-1: Prime Factorization of 86207

Prime factors of 86207 are 11, 17, 461. Prime factorization of 86207 in exponential form is:

86207 = 11¹ × 17¹ × 461¹

Step-2: Prime Factorization of 86225

Prime factors of 86225 are 5, 3449. Prime factorization of 86225 in exponential form is:

86225 = 5² × 3449¹

Step-3: Factors of 86207

List of positive integer factors of 86207 that divides 86207 without a remainder.

1, 11, 17, 187, 461, 5071, 7837

Step-4: Factors of 86225

List of positive integer factors of 86225 that divides 86207 without a remainder.

1, 5, 25, 3449, 17245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86207 and 86225. The biggest common factor number is the GCF number.
So the greatest common factor 86207 and 86225 is 1.

Also check out the Least Common Multiple of 86207 and 86225