What is the Greatest Common Factor of 50727 and 50739?

Greatest common factor (GCF) of 50727 and 50739 is 3.

GCF(50727,50739) = 3

We will now calculate the prime factors of 50727 and 50739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50727 and 50739.

How to find the GCF of 50727 and 50739?

We will first find the prime factorization of 50727 and 50739. After we will calculate the factors of 50727 and 50739 and find the biggest common factor number .

Step-1: Prime Factorization of 50727

Prime factors of 50727 are 3, 37, 457. Prime factorization of 50727 in exponential form is:

50727 = 3¹ × 37¹ × 457¹

Step-2: Prime Factorization of 50739

Prime factors of 50739 are 3, 13, 1301. Prime factorization of 50739 in exponential form is:

50739 = 3¹ × 13¹ × 1301¹

Step-3: Factors of 50727

List of positive integer factors of 50727 that divides 50727 without a remainder.

1, 3, 37, 111, 457, 1371, 16909

Step-4: Factors of 50739

List of positive integer factors of 50739 that divides 50727 without a remainder.

1, 3, 13, 39, 1301, 3903, 16913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50727 and 50739. The biggest common factor number is the GCF number.
So the greatest common factor 50727 and 50739 is 3.

Also check out the Least Common Multiple of 50727 and 50739