What is the Greatest Common Factor of 50721 and 50731?

Greatest common factor (GCF) of 50721 and 50731 is 1.

GCF(50721,50731) = 1

We will now calculate the prime factors of 50721 and 50731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50721 and 50731.

How to find the GCF of 50721 and 50731?

We will first find the prime factorization of 50721 and 50731. After we will calculate the factors of 50721 and 50731 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50731

Prime factors of 50731 are 97, 523. Prime factorization of 50731 in exponential form is:

50731 = 97¹ × 523¹

Step-3: Factors of 50721

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

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

Step-4: Factors of 50731

List of positive integer factors of 50731 that divides 50721 without a remainder.

1, 97, 523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50721 and 50731. The biggest common factor number is the GCF number.
So the greatest common factor 50721 and 50731 is 1.

Also check out the Least Common Multiple of 50721 and 50731