What is the Greatest Common Factor of 90258 and 90272?

Greatest common factor (GCF) of 90258 and 90272 is 14.

GCF(90258,90272) = 14

We will now calculate the prime factors of 90258 and 90272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90258 and 90272.

How to find the GCF of 90258 and 90272?

We will first find the prime factorization of 90258 and 90272. After we will calculate the factors of 90258 and 90272 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 90272

Prime factors of 90272 are 2, 7, 13, 31. Prime factorization of 90272 in exponential form is:

90272 = 2⁵ × 7¹ × 13¹ × 31¹

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 90272

List of positive integer factors of 90272 that divides 90258 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 31, 32, 52, 56, 62, 91, 104, 112, 124, 182, 208, 217, 224, 248, 364, 403, 416, 434, 496, 728, 806, 868, 992, 1456, 1612, 1736, 2821, 2912, 3224, 3472, 5642, 6448, 6944, 11284, 12896, 22568, 45136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90258 and 90272. The biggest common factor number is the GCF number.
So the greatest common factor 90258 and 90272 is 14.

Also check out the Least Common Multiple of 90258 and 90272