What is the Greatest Common Factor of 33012 and 33029?

Greatest common factor (GCF) of 33012 and 33029 is 1.

GCF(33012,33029) = 1

We will now calculate the prime factors of 33012 and 33029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33012 and 33029.

How to find the GCF of 33012 and 33029?

We will first find the prime factorization of 33012 and 33029. After we will calculate the factors of 33012 and 33029 and find the biggest common factor number .

Step-1: Prime Factorization of 33012

Prime factors of 33012 are 2, 3, 7, 131. Prime factorization of 33012 in exponential form is:

33012 = 2² × 3² × 7¹ × 131¹

Step-2: Prime Factorization of 33029

Prime factors of 33029 are 33029. Prime factorization of 33029 in exponential form is:

33029 = 33029¹

Step-3: Factors of 33012

List of positive integer factors of 33012 that divides 33012 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 131, 252, 262, 393, 524, 786, 917, 1179, 1572, 1834, 2358, 2751, 3668, 4716, 5502, 8253, 11004, 16506

Step-4: Factors of 33029

List of positive integer factors of 33029 that divides 33012 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33012 and 33029. The biggest common factor number is the GCF number.
So the greatest common factor 33012 and 33029 is 1.

Also check out the Least Common Multiple of 33012 and 33029