What is the Greatest Common Factor of 39168 and 39176?

Greatest common factor (GCF) of 39168 and 39176 is 8.

GCF(39168,39176) = 8

We will now calculate the prime factors of 39168 and 39176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39168 and 39176.

How to find the GCF of 39168 and 39176?

We will first find the prime factorization of 39168 and 39176. After we will calculate the factors of 39168 and 39176 and find the biggest common factor number .

Step-1: Prime Factorization of 39168

Prime factors of 39168 are 2, 3, 17. Prime factorization of 39168 in exponential form is:

39168 = 2⁸ × 3² × 17¹

Step-2: Prime Factorization of 39176

Prime factors of 39176 are 2, 59, 83. Prime factorization of 39176 in exponential form is:

39176 = 2³ × 59¹ × 83¹

Step-3: Factors of 39168

List of positive integer factors of 39168 that divides 39168 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 64, 68, 72, 96, 102, 128, 136, 144, 153, 192, 204, 256, 272, 288, 306, 384, 408, 544, 576, 612, 768, 816, 1088, 1152, 1224, 1632, 2176, 2304, 2448, 3264, 4352, 4896, 6528, 9792, 13056, 19584

Step-4: Factors of 39176

List of positive integer factors of 39176 that divides 39168 without a remainder.

1, 2, 4, 8, 59, 83, 118, 166, 236, 332, 472, 664, 4897, 9794, 19588

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39168 and 39176. The biggest common factor number is the GCF number.
So the greatest common factor 39168 and 39176 is 8.

Also check out the Least Common Multiple of 39168 and 39176