What is the Greatest Common Factor of 33965 and 33984?

Greatest common factor (GCF) of 33965 and 33984 is 1.

GCF(33965,33984) = 1

We will now calculate the prime factors of 33965 and 33984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33965 and 33984.

How to find the GCF of 33965 and 33984?

We will first find the prime factorization of 33965 and 33984. After we will calculate the factors of 33965 and 33984 and find the biggest common factor number .

Step-1: Prime Factorization of 33965

Prime factors of 33965 are 5, 6793. Prime factorization of 33965 in exponential form is:

33965 = 5¹ × 6793¹

Step-2: Prime Factorization of 33984

Prime factors of 33984 are 2, 3, 59. Prime factorization of 33984 in exponential form is:

33984 = 2⁶ × 3² × 59¹

Step-3: Factors of 33965

List of positive integer factors of 33965 that divides 33965 without a remainder.

1, 5, 6793

Step-4: Factors of 33984

List of positive integer factors of 33984 that divides 33965 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 59, 64, 72, 96, 118, 144, 177, 192, 236, 288, 354, 472, 531, 576, 708, 944, 1062, 1416, 1888, 2124, 2832, 3776, 4248, 5664, 8496, 11328, 16992

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33965 and 33984. The biggest common factor number is the GCF number.
So the greatest common factor 33965 and 33984 is 1.

Also check out the Least Common Multiple of 33965 and 33984