What is the Greatest Common Factor of 90381 and 90390?

Greatest common factor (GCF) of 90381 and 90390 is 3.

GCF(90381,90390) = 3

We will now calculate the prime factors of 90381 and 90390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90381 and 90390.

How to find the GCF of 90381 and 90390?

We will first find the prime factorization of 90381 and 90390. After we will calculate the factors of 90381 and 90390 and find the biggest common factor number .

Step-1: Prime Factorization of 90381

Prime factors of 90381 are 3, 47, 641. Prime factorization of 90381 in exponential form is:

90381 = 3¹ × 47¹ × 641¹

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 90381

List of positive integer factors of 90381 that divides 90381 without a remainder.

1, 3, 47, 141, 641, 1923, 30127

Step-4: Factors of 90390

List of positive integer factors of 90390 that divides 90381 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 90381 and 90390. The biggest common factor number is the GCF number.
So the greatest common factor 90381 and 90390 is 3.

Also check out the Least Common Multiple of 90381 and 90390