What is the Greatest Common Factor of 35856 and 35871?

Greatest common factor (GCF) of 35856 and 35871 is 3.

GCF(35856,35871) = 3

We will now calculate the prime factors of 35856 and 35871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35856 and 35871.

How to find the GCF of 35856 and 35871?

We will first find the prime factorization of 35856 and 35871. After we will calculate the factors of 35856 and 35871 and find the biggest common factor number .

Step-1: Prime Factorization of 35856

Prime factors of 35856 are 2, 3, 83. Prime factorization of 35856 in exponential form is:

35856 = 2⁴ × 3³ × 83¹

Step-2: Prime Factorization of 35871

Prime factors of 35871 are 3, 11, 1087. Prime factorization of 35871 in exponential form is:

35871 = 3¹ × 11¹ × 1087¹

Step-3: Factors of 35856

List of positive integer factors of 35856 that divides 35856 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 83, 108, 144, 166, 216, 249, 332, 432, 498, 664, 747, 996, 1328, 1494, 1992, 2241, 2988, 3984, 4482, 5976, 8964, 11952, 17928

Step-4: Factors of 35871

List of positive integer factors of 35871 that divides 35856 without a remainder.

1, 3, 11, 33, 1087, 3261, 11957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35856 and 35871. The biggest common factor number is the GCF number.
So the greatest common factor 35856 and 35871 is 3.

Also check out the Least Common Multiple of 35856 and 35871