What is the Greatest Common Factor of 90504 and 90515?

Greatest common factor (GCF) of 90504 and 90515 is 1.

GCF(90504,90515) = 1

We will now calculate the prime factors of 90504 and 90515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90504 and 90515.

How to find the GCF of 90504 and 90515?

We will first find the prime factorization of 90504 and 90515. After we will calculate the factors of 90504 and 90515 and find the biggest common factor number .

Step-1: Prime Factorization of 90504

Prime factors of 90504 are 2, 3, 419. Prime factorization of 90504 in exponential form is:

90504 = 2³ × 3³ × 419¹

Step-2: Prime Factorization of 90515

Prime factors of 90515 are 5, 43, 421. Prime factorization of 90515 in exponential form is:

90515 = 5¹ × 43¹ × 421¹

Step-3: Factors of 90504

List of positive integer factors of 90504 that divides 90504 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 419, 838, 1257, 1676, 2514, 3352, 3771, 5028, 7542, 10056, 11313, 15084, 22626, 30168, 45252

Step-4: Factors of 90515

List of positive integer factors of 90515 that divides 90504 without a remainder.

1, 5, 43, 215, 421, 2105, 18103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90504 and 90515. The biggest common factor number is the GCF number.
So the greatest common factor 90504 and 90515 is 1.

Also check out the Least Common Multiple of 90504 and 90515