What is the Greatest Common Factor of 86445 and 86462?

Greatest common factor (GCF) of 86445 and 86462 is 17.

GCF(86445,86462) = 17

We will now calculate the prime factors of 86445 and 86462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86445 and 86462.

How to find the GCF of 86445 and 86462?

We will first find the prime factorization of 86445 and 86462. After we will calculate the factors of 86445 and 86462 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86462

Prime factors of 86462 are 2, 17, 2543. Prime factorization of 86462 in exponential form is:

86462 = 2¹ × 17¹ × 2543¹

Step-3: Factors of 86445

List of positive integer factors of 86445 that divides 86445 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

Step-4: Factors of 86462

List of positive integer factors of 86462 that divides 86445 without a remainder.

1, 2, 17, 34, 2543, 5086, 43231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86445 and 86462. The biggest common factor number is the GCF number.
So the greatest common factor 86445 and 86462 is 17.

Also check out the Least Common Multiple of 86445 and 86462