What is the Greatest Common Factor of 51018 and 51033?

Greatest common factor (GCF) of 51018 and 51033 is 3.

GCF(51018,51033) = 3

We will now calculate the prime factors of 51018 and 51033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51018 and 51033.

How to find the GCF of 51018 and 51033?

We will first find the prime factorization of 51018 and 51033. After we will calculate the factors of 51018 and 51033 and find the biggest common factor number .

Step-1: Prime Factorization of 51018

Prime factors of 51018 are 2, 3, 11, 773. Prime factorization of 51018 in exponential form is:

51018 = 2¹ × 3¹ × 11¹ × 773¹

Step-2: Prime Factorization of 51033

Prime factors of 51033 are 3, 17011. Prime factorization of 51033 in exponential form is:

51033 = 3¹ × 17011¹

Step-3: Factors of 51018

List of positive integer factors of 51018 that divides 51018 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 773, 1546, 2319, 4638, 8503, 17006, 25509

Step-4: Factors of 51033

List of positive integer factors of 51033 that divides 51018 without a remainder.

1, 3, 17011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51018 and 51033. The biggest common factor number is the GCF number.
So the greatest common factor 51018 and 51033 is 3.

Also check out the Least Common Multiple of 51018 and 51033