What is the Greatest Common Factor of 51007 and 51018?

Greatest common factor (GCF) of 51007 and 51018 is 11.

GCF(51007,51018) = 11

We will now calculate the prime factors of 51007 and 51018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51007 and 51018.

How to find the GCF of 51007 and 51018?

We will first find the prime factorization of 51007 and 51018. After we will calculate the factors of 51007 and 51018 and find the biggest common factor number .

Step-1: Prime Factorization of 51007

Prime factors of 51007 are 11, 4637. Prime factorization of 51007 in exponential form is:

51007 = 11¹ × 4637¹

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 51007

List of positive integer factors of 51007 that divides 51007 without a remainder.

1, 11, 4637

Step-4: Factors of 51018

List of positive integer factors of 51018 that divides 51007 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 51007 and 51018. The biggest common factor number is the GCF number.
So the greatest common factor 51007 and 51018 is 11.

Also check out the Least Common Multiple of 51007 and 51018