What is the Greatest Common Factor of 38280 and 38288?

Greatest common factor (GCF) of 38280 and 38288 is 8.

GCF(38280,38288) = 8

We will now calculate the prime factors of 38280 and 38288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38280 and 38288.

How to find the GCF of 38280 and 38288?

We will first find the prime factorization of 38280 and 38288. After we will calculate the factors of 38280 and 38288 and find the biggest common factor number .

Step-1: Prime Factorization of 38280

Prime factors of 38280 are 2, 3, 5, 11, 29. Prime factorization of 38280 in exponential form is:

38280 = 2³ × 3¹ × 5¹ × 11¹ × 29¹

Step-2: Prime Factorization of 38288

Prime factors of 38288 are 2, 2393. Prime factorization of 38288 in exponential form is:

38288 = 2⁴ × 2393¹

Step-3: Factors of 38280

List of positive integer factors of 38280 that divides 38280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 29, 30, 33, 40, 44, 55, 58, 60, 66, 87, 88, 110, 116, 120, 132, 145, 165, 174, 220, 232, 264, 290, 319, 330, 348, 435, 440, 580, 638, 660, 696, 870, 957, 1160, 1276, 1320, 1595, 1740, 1914, 2552, 3190, 3480, 3828, 4785, 6380, 7656, 9570, 12760, 19140

Step-4: Factors of 38288

List of positive integer factors of 38288 that divides 38280 without a remainder.

1, 2, 4, 8, 16, 2393, 4786, 9572, 19144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38280 and 38288. The biggest common factor number is the GCF number.
So the greatest common factor 38280 and 38288 is 8.

Also check out the Least Common Multiple of 38280 and 38288