What is the Greatest Common Factor of 90385 and 90390?

Greatest common factor (GCF) of 90385 and 90390 is 5.

GCF(90385,90390) = 5

We will now calculate the prime factors of 90385 and 90390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90385 and 90390.

How to find the GCF of 90385 and 90390?

We will first find the prime factorization of 90385 and 90390. After we will calculate the factors of 90385 and 90390 and find the biggest common factor number .

Step-1: Prime Factorization of 90385

Prime factors of 90385 are 5, 18077. Prime factorization of 90385 in exponential form is:

90385 = 5¹ × 18077¹

Step-2: Prime Factorization of 90390

Prime factors of 90390 are 2, 3, 5, 23, 131. Prime factorization of 90390 in exponential form is:

90390 = 2¹ × 3¹ × 5¹ × 23¹ × 131¹

Step-3: Factors of 90385

List of positive integer factors of 90385 that divides 90385 without a remainder.

1, 5, 18077

Step-4: Factors of 90390

List of positive integer factors of 90390 that divides 90385 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 131, 138, 230, 262, 345, 393, 655, 690, 786, 1310, 1965, 3013, 3930, 6026, 9039, 15065, 18078, 30130, 45195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90385 and 90390. The biggest common factor number is the GCF number.
So the greatest common factor 90385 and 90390 is 5.

Also check out the Least Common Multiple of 90385 and 90390