What is the Greatest Common Factor of 39104 and 39120?

Greatest common factor (GCF) of 39104 and 39120 is 16.

GCF(39104,39120) = 16

We will now calculate the prime factors of 39104 and 39120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39104 and 39120.

How to find the GCF of 39104 and 39120?

We will first find the prime factorization of 39104 and 39120. After we will calculate the factors of 39104 and 39120 and find the biggest common factor number .

Step-1: Prime Factorization of 39104

Prime factors of 39104 are 2, 13, 47. Prime factorization of 39104 in exponential form is:

39104 = 2⁶ × 13¹ × 47¹

Step-2: Prime Factorization of 39120

Prime factors of 39120 are 2, 3, 5, 163. Prime factorization of 39120 in exponential form is:

39120 = 2⁴ × 3¹ × 5¹ × 163¹

Step-3: Factors of 39104

List of positive integer factors of 39104 that divides 39104 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 47, 52, 64, 94, 104, 188, 208, 376, 416, 611, 752, 832, 1222, 1504, 2444, 3008, 4888, 9776, 19552

Step-4: Factors of 39120

List of positive integer factors of 39120 that divides 39104 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 163, 240, 326, 489, 652, 815, 978, 1304, 1630, 1956, 2445, 2608, 3260, 3912, 4890, 6520, 7824, 9780, 13040, 19560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39104 and 39120. The biggest common factor number is the GCF number.
So the greatest common factor 39104 and 39120 is 16.

Also check out the Least Common Multiple of 39104 and 39120