What is the Greatest Common Factor of 86352 and 86358?

Greatest common factor (GCF) of 86352 and 86358 is 6.

GCF(86352,86358) = 6

We will now calculate the prime factors of 86352 and 86358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86352 and 86358.

How to find the GCF of 86352 and 86358?

We will first find the prime factorization of 86352 and 86358. After we will calculate the factors of 86352 and 86358 and find the biggest common factor number .

Step-1: Prime Factorization of 86352

Prime factors of 86352 are 2, 3, 7, 257. Prime factorization of 86352 in exponential form is:

86352 = 2⁴ × 3¹ × 7¹ × 257¹

Step-2: Prime Factorization of 86358

Prime factors of 86358 are 2, 3, 37, 389. Prime factorization of 86358 in exponential form is:

86358 = 2¹ × 3¹ × 37¹ × 389¹

Step-3: Factors of 86352

List of positive integer factors of 86352 that divides 86352 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 257, 336, 514, 771, 1028, 1542, 1799, 2056, 3084, 3598, 4112, 5397, 6168, 7196, 10794, 12336, 14392, 21588, 28784, 43176

Step-4: Factors of 86358

List of positive integer factors of 86358 that divides 86352 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 389, 778, 1167, 2334, 14393, 28786, 43179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86352 and 86358. The biggest common factor number is the GCF number.
So the greatest common factor 86352 and 86358 is 6.

Also check out the Least Common Multiple of 86352 and 86358