What is the Greatest Common Factor of 90475 and 90486?

Greatest common factor (GCF) of 90475 and 90486 is 11.

GCF(90475,90486) = 11

We will now calculate the prime factors of 90475 and 90486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90475 and 90486.

How to find the GCF of 90475 and 90486?

We will first find the prime factorization of 90475 and 90486. After we will calculate the factors of 90475 and 90486 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90486

Prime factors of 90486 are 2, 3, 11, 457. Prime factorization of 90486 in exponential form is:

90486 = 2¹ × 3² × 11¹ × 457¹

Step-3: Factors of 90475

List of positive integer factors of 90475 that divides 90475 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

Step-4: Factors of 90486

List of positive integer factors of 90486 that divides 90475 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 457, 914, 1371, 2742, 4113, 5027, 8226, 10054, 15081, 30162, 45243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90475 and 90486. The biggest common factor number is the GCF number.
So the greatest common factor 90475 and 90486 is 11.

Also check out the Least Common Multiple of 90475 and 90486