What is the Greatest Common Factor of 51006 and 51018?

Greatest common factor (GCF) of 51006 and 51018 is 6.

GCF(51006,51018) = 6

We will now calculate the prime factors of 51006 and 51018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51006 and 51018.

How to find the GCF of 51006 and 51018?

We will first find the prime factorization of 51006 and 51018. After we will calculate the factors of 51006 and 51018 and find the biggest common factor number .

Step-1: Prime Factorization of 51006

Prime factors of 51006 are 2, 3, 8501. Prime factorization of 51006 in exponential form is:

51006 = 2¹ × 3¹ × 8501¹

Step-2: 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-3: Factors of 51006

List of positive integer factors of 51006 that divides 51006 without a remainder.

1, 2, 3, 6, 8501, 17002, 25503

Step-4: Factors of 51018

List of positive integer factors of 51018 that divides 51006 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51006 and 51018. The biggest common factor number is the GCF number.
So the greatest common factor 51006 and 51018 is 6.

Also check out the Least Common Multiple of 51006 and 51018