What is the Greatest Common Factor of 50661 and 50674?

Greatest common factor (GCF) of 50661 and 50674 is 13.

GCF(50661,50674) = 13

We will now calculate the prime factors of 50661 and 50674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50661 and 50674.

How to find the GCF of 50661 and 50674?

We will first find the prime factorization of 50661 and 50674. After we will calculate the factors of 50661 and 50674 and find the biggest common factor number .

Step-1: Prime Factorization of 50661

Prime factors of 50661 are 3, 13, 433. Prime factorization of 50661 in exponential form is:

50661 = 3² × 13¹ × 433¹

Step-2: Prime Factorization of 50674

Prime factors of 50674 are 2, 13, 1949. Prime factorization of 50674 in exponential form is:

50674 = 2¹ × 13¹ × 1949¹

Step-3: Factors of 50661

List of positive integer factors of 50661 that divides 50661 without a remainder.

1, 3, 9, 13, 39, 117, 433, 1299, 3897, 5629, 16887

Step-4: Factors of 50674

List of positive integer factors of 50674 that divides 50661 without a remainder.

1, 2, 13, 26, 1949, 3898, 25337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50661 and 50674. The biggest common factor number is the GCF number.
So the greatest common factor 50661 and 50674 is 13.

Also check out the Least Common Multiple of 50661 and 50674