What is the Greatest Common Factor of 35904 and 35914?

Greatest common factor (GCF) of 35904 and 35914 is 2.

GCF(35904,35914) = 2

We will now calculate the prime factors of 35904 and 35914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35904 and 35914.

How to find the GCF of 35904 and 35914?

We will first find the prime factorization of 35904 and 35914. After we will calculate the factors of 35904 and 35914 and find the biggest common factor number .

Step-1: Prime Factorization of 35904

Prime factors of 35904 are 2, 3, 11, 17. Prime factorization of 35904 in exponential form is:

35904 = 2⁶ × 3¹ × 11¹ × 17¹

Step-2: Prime Factorization of 35914

Prime factors of 35914 are 2, 17957. Prime factorization of 35914 in exponential form is:

35914 = 2¹ × 17957¹

Step-3: Factors of 35904

List of positive integer factors of 35904 that divides 35904 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 17, 22, 24, 32, 33, 34, 44, 48, 51, 64, 66, 68, 88, 96, 102, 132, 136, 176, 187, 192, 204, 264, 272, 352, 374, 408, 528, 544, 561, 704, 748, 816, 1056, 1088, 1122, 1496, 1632, 2112, 2244, 2992, 3264, 4488, 5984, 8976, 11968, 17952

Step-4: Factors of 35914

List of positive integer factors of 35914 that divides 35904 without a remainder.

1, 2, 17957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35904 and 35914. The biggest common factor number is the GCF number.
So the greatest common factor 35904 and 35914 is 2.

Also check out the Least Common Multiple of 35904 and 35914