What is the Greatest Common Factor of 50721 and 50726?

Greatest common factor (GCF) of 50721 and 50726 is 1.

GCF(50721,50726) = 1

We will now calculate the prime factors of 50721 and 50726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50721 and 50726.

How to find the GCF of 50721 and 50726?

We will first find the prime factorization of 50721 and 50726. After we will calculate the factors of 50721 and 50726 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 50726

Prime factors of 50726 are 2, 13, 1951. Prime factorization of 50726 in exponential form is:

50726 = 2¹ × 13¹ × 1951¹

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 50726

List of positive integer factors of 50726 that divides 50721 without a remainder.

1, 2, 13, 26, 1951, 3902, 25363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50721 and 50726. The biggest common factor number is the GCF number.
So the greatest common factor 50721 and 50726 is 1.

Also check out the Least Common Multiple of 50721 and 50726