What is the Greatest Common Factor of 39072 and 39083?

Greatest common factor (GCF) of 39072 and 39083 is 11.

GCF(39072,39083) = 11

We will now calculate the prime factors of 39072 and 39083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39072 and 39083.

How to find the GCF of 39072 and 39083?

We will first find the prime factorization of 39072 and 39083. After we will calculate the factors of 39072 and 39083 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 39083

Prime factors of 39083 are 11, 17, 19. Prime factorization of 39083 in exponential form is:

39083 = 11² × 17¹ × 19¹

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 39083

List of positive integer factors of 39083 that divides 39072 without a remainder.

1, 11, 17, 19, 121, 187, 209, 323, 2057, 2299, 3553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39072 and 39083. The biggest common factor number is the GCF number.
So the greatest common factor 39072 and 39083 is 11.

Also check out the Least Common Multiple of 39072 and 39083