What is the Greatest Common Factor of 38280 and 38298?

Greatest common factor (GCF) of 38280 and 38298 is 6.

GCF(38280,38298) = 6

We will now calculate the prime factors of 38280 and 38298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38280 and 38298.

How to find the GCF of 38280 and 38298?

We will first find the prime factorization of 38280 and 38298. After we will calculate the factors of 38280 and 38298 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 38298

Prime factors of 38298 are 2, 3, 13, 491. Prime factorization of 38298 in exponential form is:

38298 = 2¹ × 3¹ × 13¹ × 491¹

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 38298

List of positive integer factors of 38298 that divides 38280 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 491, 982, 1473, 2946, 6383, 12766, 19149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38280 and 38298. The biggest common factor number is the GCF number.
So the greatest common factor 38280 and 38298 is 6.

Also check out the Least Common Multiple of 38280 and 38298