What is the Greatest Common Factor of 39072 and 39088?

Greatest common factor (GCF) of 39072 and 39088 is 16.

GCF(39072,39088) = 16

We will now calculate the prime factors of 39072 and 39088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39072 and 39088.

How to find the GCF of 39072 and 39088?

We will first find the prime factorization of 39072 and 39088. After we will calculate the factors of 39072 and 39088 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 39088

Prime factors of 39088 are 2, 7, 349. Prime factorization of 39088 in exponential form is:

39088 = 2⁴ × 7¹ × 349¹

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 39088

List of positive integer factors of 39088 that divides 39072 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 349, 698, 1396, 2443, 2792, 4886, 5584, 9772, 19544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39072 and 39088. The biggest common factor number is the GCF number.
So the greatest common factor 39072 and 39088 is 16.

Also check out the Least Common Multiple of 39072 and 39088