What is the Greatest Common Factor of 39072 and 39090?

Greatest common factor (GCF) of 39072 and 39090 is 6.

GCF(39072,39090) = 6

We will now calculate the prime factors of 39072 and 39090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39072 and 39090.

How to find the GCF of 39072 and 39090?

We will first find the prime factorization of 39072 and 39090. After we will calculate the factors of 39072 and 39090 and find the biggest common factor number .

Step-1: Prime Factorization of 39072

Prime factors of 39072 are 2, 3, 11, 37. Prime factorization of 39072 in exponential form is:

39072 = 2⁵ × 3¹ × 11¹ × 37¹

Step-2: Prime Factorization of 39090

Prime factors of 39090 are 2, 3, 5, 1303. Prime factorization of 39090 in exponential form is:

39090 = 2¹ × 3¹ × 5¹ × 1303¹

Step-3: Factors of 39072

List of positive integer factors of 39072 that divides 39072 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 37, 44, 48, 66, 74, 88, 96, 111, 132, 148, 176, 222, 264, 296, 352, 407, 444, 528, 592, 814, 888, 1056, 1184, 1221, 1628, 1776, 2442, 3256, 3552, 4884, 6512, 9768, 13024, 19536

Step-4: Factors of 39090

List of positive integer factors of 39090 that divides 39072 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1303, 2606, 3909, 6515, 7818, 13030, 19545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39072 and 39090. The biggest common factor number is the GCF number.
So the greatest common factor 39072 and 39090 is 6.

Also check out the Least Common Multiple of 39072 and 39090