What is the Greatest Common Factor of 86345 and 86352?

Greatest common factor (GCF) of 86345 and 86352 is 7.

GCF(86345,86352) = 7

We will now calculate the prime factors of 86345 and 86352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86345 and 86352.

How to find the GCF of 86345 and 86352?

We will first find the prime factorization of 86345 and 86352. After we will calculate the factors of 86345 and 86352 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 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 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 86352

List of positive integer factors of 86352 that divides 86345 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 86345 and 86352. The biggest common factor number is the GCF number.
So the greatest common factor 86345 and 86352 is 7.

Also check out the Least Common Multiple of 86345 and 86352