What is the Greatest Common Factor of 39072 and 39092?

Greatest common factor (GCF) of 39072 and 39092 is 4.

GCF(39072,39092) = 4

We will now calculate the prime factors of 39072 and 39092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39072 and 39092.

How to find the GCF of 39072 and 39092?

We will first find the prime factorization of 39072 and 39092. After we will calculate the factors of 39072 and 39092 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 39092

Prime factors of 39092 are 2, 29, 337. Prime factorization of 39092 in exponential form is:

39092 = 2² × 29¹ × 337¹

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 39092

List of positive integer factors of 39092 that divides 39072 without a remainder.

1, 2, 4, 29, 58, 116, 337, 674, 1348, 9773, 19546

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39072 and 39092. The biggest common factor number is the GCF number.
So the greatest common factor 39072 and 39092 is 4.

Also check out the Least Common Multiple of 39072 and 39092