What is the Greatest Common Factor of 86352 and 86360?

Greatest common factor (GCF) of 86352 and 86360 is 8.

GCF(86352,86360) = 8

We will now calculate the prime factors of 86352 and 86360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86352 and 86360.

How to find the GCF of 86352 and 86360?

We will first find the prime factorization of 86352 and 86360. After we will calculate the factors of 86352 and 86360 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 86360

Prime factors of 86360 are 2, 5, 17, 127. Prime factorization of 86360 in exponential form is:

86360 = 2³ × 5¹ × 17¹ × 127¹

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 86360

List of positive integer factors of 86360 that divides 86352 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 127, 136, 170, 254, 340, 508, 635, 680, 1016, 1270, 2159, 2540, 4318, 5080, 8636, 10795, 17272, 21590, 43180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86352 and 86360. The biggest common factor number is the GCF number.
So the greatest common factor 86352 and 86360 is 8.

Also check out the Least Common Multiple of 86352 and 86360