What is the Greatest Common Factor of 86445 and 86463?

Greatest common factor (GCF) of 86445 and 86463 is 9.

GCF(86445,86463) = 9

We will now calculate the prime factors of 86445 and 86463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86445 and 86463.

How to find the GCF of 86445 and 86463?

We will first find the prime factorization of 86445 and 86463. After we will calculate the factors of 86445 and 86463 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 86463

Prime factors of 86463 are 3, 13, 739. Prime factorization of 86463 in exponential form is:

86463 = 3² × 13¹ × 739¹

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 86463

List of positive integer factors of 86463 that divides 86445 without a remainder.

1, 3, 9, 13, 39, 117, 739, 2217, 6651, 9607, 28821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86445 and 86463. The biggest common factor number is the GCF number.
So the greatest common factor 86445 and 86463 is 9.

Also check out the Least Common Multiple of 86445 and 86463