What is the Greatest Common Factor of 35856 and 35875?

Greatest common factor (GCF) of 35856 and 35875 is 1.

GCF(35856,35875) = 1

We will now calculate the prime factors of 35856 and 35875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35856 and 35875.

How to find the GCF of 35856 and 35875?

We will first find the prime factorization of 35856 and 35875. After we will calculate the factors of 35856 and 35875 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 35875

Prime factors of 35875 are 5, 7, 41. Prime factorization of 35875 in exponential form is:

35875 = 5³ × 7¹ × 41¹

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 35875

List of positive integer factors of 35875 that divides 35856 without a remainder.

1, 5, 7, 25, 35, 41, 125, 175, 205, 287, 875, 1025, 1435, 5125, 7175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35856 and 35875. The biggest common factor number is the GCF number.
So the greatest common factor 35856 and 35875 is 1.

Also check out the Least Common Multiple of 35856 and 35875