What is the Greatest Common Factor of 33005 and 33012?

Greatest common factor (GCF) of 33005 and 33012 is 7.

GCF(33005,33012) = 7

We will now calculate the prime factors of 33005 and 33012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33005 and 33012.

How to find the GCF of 33005 and 33012?

We will first find the prime factorization of 33005 and 33012. After we will calculate the factors of 33005 and 33012 and find the biggest common factor number .

Step-1: Prime Factorization of 33005

Prime factors of 33005 are 5, 7, 23, 41. Prime factorization of 33005 in exponential form is:

33005 = 5¹ × 7¹ × 23¹ × 41¹

Step-2: 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-3: Factors of 33005

List of positive integer factors of 33005 that divides 33005 without a remainder.

1, 5, 7, 23, 35, 41, 115, 161, 205, 287, 805, 943, 1435, 4715, 6601

Step-4: Factors of 33012

List of positive integer factors of 33012 that divides 33005 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33005 and 33012. The biggest common factor number is the GCF number.
So the greatest common factor 33005 and 33012 is 7.

Also check out the Least Common Multiple of 33005 and 33012