What is the Greatest Common Factor of 93450 and 93459?

Greatest common factor (GCF) of 93450 and 93459 is 3.

GCF(93450,93459) = 3

We will now calculate the prime factors of 93450 and 93459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93450 and 93459.

How to find the GCF of 93450 and 93459?

We will first find the prime factorization of 93450 and 93459. After we will calculate the factors of 93450 and 93459 and find the biggest common factor number .

Step-1: Prime Factorization of 93450

Prime factors of 93450 are 2, 3, 5, 7, 89. Prime factorization of 93450 in exponential form is:

93450 = 2¹ × 3¹ × 5² × 7¹ × 89¹

Step-2: Prime Factorization of 93459

Prime factors of 93459 are 3, 31153. Prime factorization of 93459 in exponential form is:

93459 = 3¹ × 31153¹

Step-3: Factors of 93450

List of positive integer factors of 93450 that divides 93450 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 89, 105, 150, 175, 178, 210, 267, 350, 445, 525, 534, 623, 890, 1050, 1246, 1335, 1869, 2225, 2670, 3115, 3738, 4450, 6230, 6675, 9345, 13350, 15575, 18690, 31150, 46725

Step-4: Factors of 93459

List of positive integer factors of 93459 that divides 93450 without a remainder.

1, 3, 31153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93450 and 93459. The biggest common factor number is the GCF number.
So the greatest common factor 93450 and 93459 is 3.

Also check out the Least Common Multiple of 93450 and 93459