What is the Greatest Common Factor of 38280 and 38292?

Greatest common factor (GCF) of 38280 and 38292 is 12.

GCF(38280,38292) = 12

We will now calculate the prime factors of 38280 and 38292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38280 and 38292.

How to find the GCF of 38280 and 38292?

We will first find the prime factorization of 38280 and 38292. After we will calculate the factors of 38280 and 38292 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 38292

Prime factors of 38292 are 2, 3, 3191. Prime factorization of 38292 in exponential form is:

38292 = 2² × 3¹ × 3191¹

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 38292

List of positive integer factors of 38292 that divides 38280 without a remainder.

1, 2, 3, 4, 6, 12, 3191, 6382, 9573, 12764, 19146

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38280 and 38292. The biggest common factor number is the GCF number.
So the greatest common factor 38280 and 38292 is 12.

Also check out the Least Common Multiple of 38280 and 38292