What is the Greatest Common Factor of 39104 and 39116?

Greatest common factor (GCF) of 39104 and 39116 is 4.

GCF(39104,39116) = 4

We will now calculate the prime factors of 39104 and 39116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39104 and 39116.

How to find the GCF of 39104 and 39116?

We will first find the prime factorization of 39104 and 39116. After we will calculate the factors of 39104 and 39116 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 39116

Prime factors of 39116 are 2, 7, 11, 127. Prime factorization of 39116 in exponential form is:

39116 = 2² × 7¹ × 11¹ × 127¹

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 39116

List of positive integer factors of 39116 that divides 39104 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 127, 154, 254, 308, 508, 889, 1397, 1778, 2794, 3556, 5588, 9779, 19558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39104 and 39116. The biggest common factor number is the GCF number.
So the greatest common factor 39104 and 39116 is 4.

Also check out the Least Common Multiple of 39104 and 39116