What is the Greatest Common Factor of 50709 and 50721?

Greatest common factor (GCF) of 50709 and 50721 is 3.

GCF(50709,50721) = 3

We will now calculate the prime factors of 50709 and 50721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50709 and 50721.

How to find the GCF of 50709 and 50721?

We will first find the prime factorization of 50709 and 50721. After we will calculate the factors of 50709 and 50721 and find the biggest common factor number .

Step-1: Prime Factorization of 50709

Prime factors of 50709 are 3, 16903. Prime factorization of 50709 in exponential form is:

50709 = 3¹ × 16903¹

Step-2: Prime Factorization of 50721

Prime factors of 50721 are 3, 11, 29, 53. Prime factorization of 50721 in exponential form is:

50721 = 3¹ × 11¹ × 29¹ × 53¹

Step-3: Factors of 50709

List of positive integer factors of 50709 that divides 50709 without a remainder.

1, 3, 16903

Step-4: Factors of 50721

List of positive integer factors of 50721 that divides 50709 without a remainder.

1, 3, 11, 29, 33, 53, 87, 159, 319, 583, 957, 1537, 1749, 4611, 16907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50709 and 50721. The biggest common factor number is the GCF number.
So the greatest common factor 50709 and 50721 is 3.

Also check out the Least Common Multiple of 50709 and 50721