What is the Greatest Common Factor of 35850 and 35856?

Greatest common factor (GCF) of 35850 and 35856 is 6.

GCF(35850,35856) = 6

We will now calculate the prime factors of 35850 and 35856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35850 and 35856.

How to find the GCF of 35850 and 35856?

We will first find the prime factorization of 35850 and 35856. After we will calculate the factors of 35850 and 35856 and find the biggest common factor number .

Step-1: Prime Factorization of 35850

Prime factors of 35850 are 2, 3, 5, 239. Prime factorization of 35850 in exponential form is:

35850 = 2¹ × 3¹ × 5² × 239¹

Step-2: 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-3: Factors of 35850

List of positive integer factors of 35850 that divides 35850 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 239, 478, 717, 1195, 1434, 2390, 3585, 5975, 7170, 11950, 17925

Step-4: Factors of 35856

List of positive integer factors of 35856 that divides 35850 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35850 and 35856. The biggest common factor number is the GCF number.
So the greatest common factor 35850 and 35856 is 6.

Also check out the Least Common Multiple of 35850 and 35856