What is the Greatest Common Factor of 86445 and 86454?

Greatest common factor (GCF) of 86445 and 86454 is 9.

GCF(86445,86454) = 9

We will now calculate the prime factors of 86445 and 86454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86445 and 86454.

How to find the GCF of 86445 and 86454?

We will first find the prime factorization of 86445 and 86454. After we will calculate the factors of 86445 and 86454 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 86454

Prime factors of 86454 are 2, 3, 1601. Prime factorization of 86454 in exponential form is:

86454 = 2¹ × 3³ × 1601¹

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 86454

List of positive integer factors of 86454 that divides 86445 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1601, 3202, 4803, 9606, 14409, 28818, 43227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86445 and 86454. The biggest common factor number is the GCF number.
So the greatest common factor 86445 and 86454 is 9.

Also check out the Least Common Multiple of 86445 and 86454