What is the Greatest Common Factor of 51009 and 51016?

Greatest common factor (GCF) of 51009 and 51016 is 7.

GCF(51009,51016) = 7

We will now calculate the prime factors of 51009 and 51016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51009 and 51016.

How to find the GCF of 51009 and 51016?

We will first find the prime factorization of 51009 and 51016. After we will calculate the factors of 51009 and 51016 and find the biggest common factor number .

Step-1: Prime Factorization of 51009

Prime factors of 51009 are 3, 7, 347. Prime factorization of 51009 in exponential form is:

51009 = 3¹ × 7² × 347¹

Step-2: Prime Factorization of 51016

Prime factors of 51016 are 2, 7, 911. Prime factorization of 51016 in exponential form is:

51016 = 2³ × 7¹ × 911¹

Step-3: Factors of 51009

List of positive integer factors of 51009 that divides 51009 without a remainder.

1, 3, 7, 21, 49, 147, 347, 1041, 2429, 7287, 17003

Step-4: Factors of 51016

List of positive integer factors of 51016 that divides 51009 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 911, 1822, 3644, 6377, 7288, 12754, 25508

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51009 and 51016. The biggest common factor number is the GCF number.
So the greatest common factor 51009 and 51016 is 7.

Also check out the Least Common Multiple of 51009 and 51016