What is the Greatest Common Factor of 86338 and 86352?

Greatest common factor (GCF) of 86338 and 86352 is 14.

GCF(86338,86352) = 14

We will now calculate the prime factors of 86338 and 86352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86338 and 86352.

How to find the GCF of 86338 and 86352?

We will first find the prime factorization of 86338 and 86352. After we will calculate the factors of 86338 and 86352 and find the biggest common factor number .

Step-1: Prime Factorization of 86338

Prime factors of 86338 are 2, 7, 881. Prime factorization of 86338 in exponential form is:

86338 = 2¹ × 7² × 881¹

Step-2: 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-3: Factors of 86338

List of positive integer factors of 86338 that divides 86338 without a remainder.

1, 2, 7, 14, 49, 98, 881, 1762, 6167, 12334, 43169

Step-4: Factors of 86352

List of positive integer factors of 86352 that divides 86338 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86338 and 86352. The biggest common factor number is the GCF number.
So the greatest common factor 86338 and 86352 is 14.

Also check out the Least Common Multiple of 86338 and 86352