What is the Greatest Common Factor of 33012 and 33031?

Greatest common factor (GCF) of 33012 and 33031 is 1.

GCF(33012,33031) = 1

We will now calculate the prime factors of 33012 and 33031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33012 and 33031.

How to find the GCF of 33012 and 33031?

We will first find the prime factorization of 33012 and 33031. After we will calculate the factors of 33012 and 33031 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 33031

Prime factors of 33031 are 17, 29, 67. Prime factorization of 33031 in exponential form is:

33031 = 17¹ × 29¹ × 67¹

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 33031

List of positive integer factors of 33031 that divides 33012 without a remainder.

1, 17, 29, 67, 493, 1139, 1943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33012 and 33031. The biggest common factor number is the GCF number.
So the greatest common factor 33012 and 33031 is 1.

Also check out the Least Common Multiple of 33012 and 33031