What is the Greatest Common Factor of 35838 and 35856?

Greatest common factor (GCF) of 35838 and 35856 is 18.

GCF(35838,35856) = 18

We will now calculate the prime factors of 35838 and 35856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35838 and 35856.

How to find the GCF of 35838 and 35856?

We will first find the prime factorization of 35838 and 35856. After we will calculate the factors of 35838 and 35856 and find the biggest common factor number .

Step-1: Prime Factorization of 35838

Prime factors of 35838 are 2, 3, 11, 181. Prime factorization of 35838 in exponential form is:

35838 = 2¹ × 3² × 11¹ × 181¹

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 35838

List of positive integer factors of 35838 that divides 35838 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 181, 198, 362, 543, 1086, 1629, 1991, 3258, 3982, 5973, 11946, 17919

Step-4: Factors of 35856

List of positive integer factors of 35856 that divides 35838 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 35838 and 35856. The biggest common factor number is the GCF number.
So the greatest common factor 35838 and 35856 is 18.

Also check out the Least Common Multiple of 35838 and 35856