What is the Greatest Common Factor of 35887 and 35904?

Greatest common factor (GCF) of 35887 and 35904 is 17.

GCF(35887,35904) = 17

We will now calculate the prime factors of 35887 and 35904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35887 and 35904.

How to find the GCF of 35887 and 35904?

We will first find the prime factorization of 35887 and 35904. After we will calculate the factors of 35887 and 35904 and find the biggest common factor number .

Step-1: Prime Factorization of 35887

Prime factors of 35887 are 17, 2111. Prime factorization of 35887 in exponential form is:

35887 = 17¹ × 2111¹

Step-2: 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-3: Factors of 35887

List of positive integer factors of 35887 that divides 35887 without a remainder.

1, 17, 2111

Step-4: Factors of 35904

List of positive integer factors of 35904 that divides 35887 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35887 and 35904. The biggest common factor number is the GCF number.
So the greatest common factor 35887 and 35904 is 17.

Also check out the Least Common Multiple of 35887 and 35904