What is the Greatest Common Factor of 90390 and 90401?

Greatest common factor (GCF) of 90390 and 90401 is 1.

GCF(90390,90401) = 1

We will now calculate the prime factors of 90390 and 90401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90390 and 90401.

How to find the GCF of 90390 and 90401?

We will first find the prime factorization of 90390 and 90401. After we will calculate the factors of 90390 and 90401 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90401

Prime factors of 90401 are 90401. Prime factorization of 90401 in exponential form is:

90401 = 90401¹

Step-3: Factors of 90390

List of positive integer factors of 90390 that divides 90390 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

Step-4: Factors of 90401

List of positive integer factors of 90401 that divides 90390 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90390 and 90401. The biggest common factor number is the GCF number.
So the greatest common factor 90390 and 90401 is 1.

Also check out the Least Common Multiple of 90390 and 90401