What is the Greatest Common Factor of 33984 and 34003?

Greatest common factor (GCF) of 33984 and 34003 is 1.

GCF(33984,34003) = 1

We will now calculate the prime factors of 33984 and 34003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33984 and 34003.

How to find the GCF of 33984 and 34003?

We will first find the prime factorization of 33984 and 34003. After we will calculate the factors of 33984 and 34003 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34003

Prime factors of 34003 are 37, 919. Prime factorization of 34003 in exponential form is:

34003 = 37¹ × 919¹

Step-3: Factors of 33984

List of positive integer factors of 33984 that divides 33984 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

Step-4: Factors of 34003

List of positive integer factors of 34003 that divides 33984 without a remainder.

1, 37, 919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33984 and 34003. The biggest common factor number is the GCF number.
So the greatest common factor 33984 and 34003 is 1.

Also check out the Least Common Multiple of 33984 and 34003