What is the Greatest Common Factor of 90298 and 90303?

Greatest common factor (GCF) of 90298 and 90303 is 1.

GCF(90298,90303) = 1

We will now calculate the prime factors of 90298 and 90303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90298 and 90303.

How to find the GCF of 90298 and 90303?

We will first find the prime factorization of 90298 and 90303. After we will calculate the factors of 90298 and 90303 and find the biggest common factor number .

Step-1: Prime Factorization of 90298

Prime factors of 90298 are 2, 13, 23, 151. Prime factorization of 90298 in exponential form is:

90298 = 2¹ × 13¹ × 23¹ × 151¹

Step-2: Prime Factorization of 90303

Prime factors of 90303 are 3, 31, 971. Prime factorization of 90303 in exponential form is:

90303 = 3¹ × 31¹ × 971¹

Step-3: Factors of 90298

List of positive integer factors of 90298 that divides 90298 without a remainder.

1, 2, 13, 23, 26, 46, 151, 299, 302, 598, 1963, 3473, 3926, 6946, 45149

Step-4: Factors of 90303

List of positive integer factors of 90303 that divides 90298 without a remainder.

1, 3, 31, 93, 971, 2913, 30101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90298 and 90303. The biggest common factor number is the GCF number.
So the greatest common factor 90298 and 90303 is 1.

Also check out the Least Common Multiple of 90298 and 90303