What is the Greatest Common Factor of 50997 and 51003?

Greatest common factor (GCF) of 50997 and 51003 is 3.

GCF(50997,51003) = 3

We will now calculate the prime factors of 50997 and 51003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50997 and 51003.

How to find the GCF of 50997 and 51003?

We will first find the prime factorization of 50997 and 51003. After we will calculate the factors of 50997 and 51003 and find the biggest common factor number .

Step-1: Prime Factorization of 50997

Prime factors of 50997 are 3, 89, 191. Prime factorization of 50997 in exponential form is:

50997 = 3¹ × 89¹ × 191¹

Step-2: Prime Factorization of 51003

Prime factors of 51003 are 3, 1889. Prime factorization of 51003 in exponential form is:

51003 = 3³ × 1889¹

Step-3: Factors of 50997

List of positive integer factors of 50997 that divides 50997 without a remainder.

1, 3, 89, 191, 267, 573, 16999

Step-4: Factors of 51003

List of positive integer factors of 51003 that divides 50997 without a remainder.

1, 3, 9, 27, 1889, 5667, 17001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50997 and 51003. The biggest common factor number is the GCF number.
So the greatest common factor 50997 and 51003 is 3.

Also check out the Least Common Multiple of 50997 and 51003