What is the Greatest Common Factor of 90266 and 90272?

Greatest common factor (GCF) of 90266 and 90272 is 2.

GCF(90266,90272) = 2

We will now calculate the prime factors of 90266 and 90272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90266 and 90272.

How to find the GCF of 90266 and 90272?

We will first find the prime factorization of 90266 and 90272. After we will calculate the factors of 90266 and 90272 and find the biggest common factor number .

Step-1: Prime Factorization of 90266

Prime factors of 90266 are 2, 11, 373. Prime factorization of 90266 in exponential form is:

90266 = 2¹ × 11² × 373¹

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 90266

List of positive integer factors of 90266 that divides 90266 without a remainder.

1, 2, 11, 22, 121, 242, 373, 746, 4103, 8206, 45133

Step-4: Factors of 90272

List of positive integer factors of 90272 that divides 90266 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 90266 and 90272. The biggest common factor number is the GCF number.
So the greatest common factor 90266 and 90272 is 2.

Also check out the Least Common Multiple of 90266 and 90272