What is the Greatest Common Factor of 86390 and 86398?

Greatest common factor (GCF) of 86390 and 86398 is 2.

GCF(86390,86398) = 2

We will now calculate the prime factors of 86390 and 86398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86390 and 86398.

How to find the GCF of 86390 and 86398?

We will first find the prime factorization of 86390 and 86398. After we will calculate the factors of 86390 and 86398 and find the biggest common factor number .

Step-1: Prime Factorization of 86390

Prime factors of 86390 are 2, 5, 53, 163. Prime factorization of 86390 in exponential form is:

86390 = 2¹ × 5¹ × 53¹ × 163¹

Step-2: Prime Factorization of 86398

Prime factors of 86398 are 2, 13, 3323. Prime factorization of 86398 in exponential form is:

86398 = 2¹ × 13¹ × 3323¹

Step-3: Factors of 86390

List of positive integer factors of 86390 that divides 86390 without a remainder.

1, 2, 5, 10, 53, 106, 163, 265, 326, 530, 815, 1630, 8639, 17278, 43195

Step-4: Factors of 86398

List of positive integer factors of 86398 that divides 86390 without a remainder.

1, 2, 13, 26, 3323, 6646, 43199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86390 and 86398. The biggest common factor number is the GCF number.
So the greatest common factor 86390 and 86398 is 2.

Also check out the Least Common Multiple of 86390 and 86398