What is the Greatest Common Factor of 86207 and 86224?

Greatest common factor (GCF) of 86207 and 86224 is 17.

GCF(86207,86224) = 17

We will now calculate the prime factors of 86207 and 86224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86207 and 86224.

How to find the GCF of 86207 and 86224?

We will first find the prime factorization of 86207 and 86224. After we will calculate the factors of 86207 and 86224 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 86224

Prime factors of 86224 are 2, 17, 317. Prime factorization of 86224 in exponential form is:

86224 = 2⁴ × 17¹ × 317¹

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 86224

List of positive integer factors of 86224 that divides 86207 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 317, 634, 1268, 2536, 5072, 5389, 10778, 21556, 43112

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86207 and 86224. The biggest common factor number is the GCF number.
So the greatest common factor 86207 and 86224 is 17.

Also check out the Least Common Multiple of 86207 and 86224