What is the Greatest Common Factor of 50991 and 51009?

Greatest common factor (GCF) of 50991 and 51009 is 3.

GCF(50991,51009) = 3

We will now calculate the prime factors of 50991 and 51009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50991 and 51009.

How to find the GCF of 50991 and 51009?

We will first find the prime factorization of 50991 and 51009. After we will calculate the factors of 50991 and 51009 and find the biggest common factor number .

Step-1: Prime Factorization of 50991

Prime factors of 50991 are 3, 23, 739. Prime factorization of 50991 in exponential form is:

50991 = 3¹ × 23¹ × 739¹

Step-2: 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-3: Factors of 50991

List of positive integer factors of 50991 that divides 50991 without a remainder.

1, 3, 23, 69, 739, 2217, 16997

Step-4: Factors of 51009

List of positive integer factors of 51009 that divides 50991 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50991 and 51009. The biggest common factor number is the GCF number.
So the greatest common factor 50991 and 51009 is 3.

Also check out the Least Common Multiple of 50991 and 51009