What is the Greatest Common Factor of 86428 and 86445?

Greatest common factor (GCF) of 86428 and 86445 is 17.

GCF(86428,86445) = 17

We will now calculate the prime factors of 86428 and 86445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86428 and 86445.

How to find the GCF of 86428 and 86445?

We will first find the prime factorization of 86428 and 86445. After we will calculate the factors of 86428 and 86445 and find the biggest common factor number .

Step-1: Prime Factorization of 86428

Prime factors of 86428 are 2, 17, 31, 41. Prime factorization of 86428 in exponential form is:

86428 = 2² × 17¹ × 31¹ × 41¹

Step-2: Prime Factorization of 86445

Prime factors of 86445 are 3, 5, 17, 113. Prime factorization of 86445 in exponential form is:

86445 = 3² × 5¹ × 17¹ × 113¹

Step-3: Factors of 86428

List of positive integer factors of 86428 that divides 86428 without a remainder.

1, 2, 4, 17, 31, 34, 41, 62, 68, 82, 124, 164, 527, 697, 1054, 1271, 1394, 2108, 2542, 2788, 5084, 21607, 43214

Step-4: Factors of 86445

List of positive integer factors of 86445 that divides 86428 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 113, 153, 255, 339, 565, 765, 1017, 1695, 1921, 5085, 5763, 9605, 17289, 28815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86428 and 86445. The biggest common factor number is the GCF number.
So the greatest common factor 86428 and 86445 is 17.

Also check out the Least Common Multiple of 86428 and 86445