What is the Greatest Common Factor of 90257 and 90270?

Greatest common factor (GCF) of 90257 and 90270 is 1.

GCF(90257,90270) = 1

We will now calculate the prime factors of 90257 and 90270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90257 and 90270.

How to find the GCF of 90257 and 90270?

We will first find the prime factorization of 90257 and 90270. After we will calculate the factors of 90257 and 90270 and find the biggest common factor number .

Step-1: Prime Factorization of 90257

Prime factors of 90257 are 43, 2099. Prime factorization of 90257 in exponential form is:

90257 = 43¹ × 2099¹

Step-2: Prime Factorization of 90270

Prime factors of 90270 are 2, 3, 5, 17, 59. Prime factorization of 90270 in exponential form is:

90270 = 2¹ × 3² × 5¹ × 17¹ × 59¹

Step-3: Factors of 90257

List of positive integer factors of 90257 that divides 90257 without a remainder.

1, 43, 2099

Step-4: Factors of 90270

List of positive integer factors of 90270 that divides 90257 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 59, 85, 90, 102, 118, 153, 170, 177, 255, 295, 306, 354, 510, 531, 590, 765, 885, 1003, 1062, 1530, 1770, 2006, 2655, 3009, 5015, 5310, 6018, 9027, 10030, 15045, 18054, 30090, 45135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90257 and 90270. The biggest common factor number is the GCF number.
So the greatest common factor 90257 and 90270 is 1.

Also check out the Least Common Multiple of 90257 and 90270