What is the Greatest Common Factor of 90272 and 90279?

Greatest common factor (GCF) of 90272 and 90279 is 7.

GCF(90272,90279) = 7

We will now calculate the prime factors of 90272 and 90279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90272 and 90279.

How to find the GCF of 90272 and 90279?

We will first find the prime factorization of 90272 and 90279. After we will calculate the factors of 90272 and 90279 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 90279

Prime factors of 90279 are 3, 7, 1433. Prime factorization of 90279 in exponential form is:

90279 = 3² × 7¹ × 1433¹

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 90279

List of positive integer factors of 90279 that divides 90272 without a remainder.

1, 3, 7, 9, 21, 63, 1433, 4299, 10031, 12897, 30093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90272 and 90279. The biggest common factor number is the GCF number.
So the greatest common factor 90272 and 90279 is 7.

Also check out the Least Common Multiple of 90272 and 90279