What is the Greatest Common Factor of 90258 and 90270?

Greatest common factor (GCF) of 90258 and 90270 is 6.

GCF(90258,90270) = 6

We will now calculate the prime factors of 90258 and 90270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90258 and 90270.

How to find the GCF of 90258 and 90270?

We will first find the prime factorization of 90258 and 90270. After we will calculate the factors of 90258 and 90270 and find the biggest common factor number .

Step-1: Prime Factorization of 90258

Prime factors of 90258 are 2, 3, 7, 307. Prime factorization of 90258 in exponential form is:

90258 = 2¹ × 3¹ × 7² × 307¹

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 90258

List of positive integer factors of 90258 that divides 90258 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 307, 614, 921, 1842, 2149, 4298, 6447, 12894, 15043, 30086, 45129

Step-4: Factors of 90270

List of positive integer factors of 90270 that divides 90258 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 90258 and 90270. The biggest common factor number is the GCF number.
So the greatest common factor 90258 and 90270 is 6.

Also check out the Least Common Multiple of 90258 and 90270