What is the Greatest Common Factor of 90459 and 90475?

Greatest common factor (GCF) of 90459 and 90475 is 1.

GCF(90459,90475) = 1

We will now calculate the prime factors of 90459 and 90475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90459 and 90475.

How to find the GCF of 90459 and 90475?

We will first find the prime factorization of 90459 and 90475. After we will calculate the factors of 90459 and 90475 and find the biggest common factor number .

Step-1: Prime Factorization of 90459

Prime factors of 90459 are 3, 19, 23. Prime factorization of 90459 in exponential form is:

90459 = 3² × 19¹ × 23²

Step-2: Prime Factorization of 90475

Prime factors of 90475 are 5, 7, 11, 47. Prime factorization of 90475 in exponential form is:

90475 = 5² × 7¹ × 11¹ × 47¹

Step-3: Factors of 90459

List of positive integer factors of 90459 that divides 90459 without a remainder.

1, 3, 9, 19, 23, 57, 69, 171, 207, 437, 529, 1311, 1587, 3933, 4761, 10051, 30153

Step-4: Factors of 90475

List of positive integer factors of 90475 that divides 90459 without a remainder.

1, 5, 7, 11, 25, 35, 47, 55, 77, 175, 235, 275, 329, 385, 517, 1175, 1645, 1925, 2585, 3619, 8225, 12925, 18095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90459 and 90475. The biggest common factor number is the GCF number.
So the greatest common factor 90459 and 90475 is 1.

Also check out the Least Common Multiple of 90459 and 90475