What is the Greatest Common Factor of 35856 and 35863?

Greatest common factor (GCF) of 35856 and 35863 is 1.

GCF(35856,35863) = 1

We will now calculate the prime factors of 35856 and 35863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35856 and 35863.

How to find the GCF of 35856 and 35863?

We will first find the prime factorization of 35856 and 35863. After we will calculate the factors of 35856 and 35863 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 35863

Prime factors of 35863 are 35863. Prime factorization of 35863 in exponential form is:

35863 = 35863¹

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 35863

List of positive integer factors of 35863 that divides 35856 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35856 and 35863. The biggest common factor number is the GCF number.
So the greatest common factor 35856 and 35863 is 1.

Also check out the Least Common Multiple of 35856 and 35863