What is the Greatest Common Factor of 90272 and 90284?

Greatest common factor (GCF) of 90272 and 90284 is 4.

GCF(90272,90284) = 4

We will now calculate the prime factors of 90272 and 90284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90272 and 90284.

How to find the GCF of 90272 and 90284?

We will first find the prime factorization of 90272 and 90284. After we will calculate the factors of 90272 and 90284 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90284

Prime factors of 90284 are 2, 22571. Prime factorization of 90284 in exponential form is:

90284 = 2² × 22571¹

Step-3: Factors of 90272

List of positive integer factors of 90272 that divides 90272 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

Step-4: Factors of 90284

List of positive integer factors of 90284 that divides 90272 without a remainder.

1, 2, 4, 22571, 45142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90272 and 90284. The biggest common factor number is the GCF number.
So the greatest common factor 90272 and 90284 is 4.

Also check out the Least Common Multiple of 90272 and 90284