What is the Greatest Common Factor of 50674 and 50687?

Greatest common factor (GCF) of 50674 and 50687 is 13.

GCF(50674,50687) = 13

We will now calculate the prime factors of 50674 and 50687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50674 and 50687.

How to find the GCF of 50674 and 50687?

We will first find the prime factorization of 50674 and 50687. After we will calculate the factors of 50674 and 50687 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50687

Prime factors of 50687 are 7, 13, 557. Prime factorization of 50687 in exponential form is:

50687 = 7¹ × 13¹ × 557¹

Step-3: Factors of 50674

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

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

Step-4: Factors of 50687

List of positive integer factors of 50687 that divides 50674 without a remainder.

1, 7, 13, 91, 557, 3899, 7241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50674 and 50687. The biggest common factor number is the GCF number.
So the greatest common factor 50674 and 50687 is 13.

Also check out the Least Common Multiple of 50674 and 50687