What is the Greatest Common Factor of 86345 and 86350?

Greatest common factor (GCF) of 86345 and 86350 is 5.

GCF(86345,86350) = 5

We will now calculate the prime factors of 86345 and 86350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86345 and 86350.

How to find the GCF of 86345 and 86350?

We will first find the prime factorization of 86345 and 86350. After we will calculate the factors of 86345 and 86350 and find the biggest common factor number .

Step-1: Prime Factorization of 86345

Prime factors of 86345 are 5, 7, 2467. Prime factorization of 86345 in exponential form is:

86345 = 5¹ × 7¹ × 2467¹

Step-2: Prime Factorization of 86350

Prime factors of 86350 are 2, 5, 11, 157. Prime factorization of 86350 in exponential form is:

86350 = 2¹ × 5² × 11¹ × 157¹

Step-3: Factors of 86345

List of positive integer factors of 86345 that divides 86345 without a remainder.

1, 5, 7, 35, 2467, 12335, 17269

Step-4: Factors of 86350

List of positive integer factors of 86350 that divides 86345 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 157, 275, 314, 550, 785, 1570, 1727, 3454, 3925, 7850, 8635, 17270, 43175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86345 and 86350. The biggest common factor number is the GCF number.
So the greatest common factor 86345 and 86350 is 5.

Also check out the Least Common Multiple of 86345 and 86350