What is the Greatest Common Factor of 90475 and 90482?

Greatest common factor (GCF) of 90475 and 90482 is 7.

GCF(90475,90482) = 7

We will now calculate the prime factors of 90475 and 90482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90475 and 90482.

How to find the GCF of 90475 and 90482?

We will first find the prime factorization of 90475 and 90482. After we will calculate the factors of 90475 and 90482 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 90482

Prime factors of 90482 are 2, 7, 23, 281. Prime factorization of 90482 in exponential form is:

90482 = 2¹ × 7¹ × 23¹ × 281¹

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 90482

List of positive integer factors of 90482 that divides 90475 without a remainder.

1, 2, 7, 14, 23, 46, 161, 281, 322, 562, 1967, 3934, 6463, 12926, 45241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90475 and 90482. The biggest common factor number is the GCF number.
So the greatest common factor 90475 and 90482 is 7.

Also check out the Least Common Multiple of 90475 and 90482