What is the Greatest Common Factor of 50674 and 50682?

Greatest common factor (GCF) of 50674 and 50682 is 2.

GCF(50674,50682) = 2

We will now calculate the prime factors of 50674 and 50682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50674 and 50682.

How to find the GCF of 50674 and 50682?

We will first find the prime factorization of 50674 and 50682. After we will calculate the factors of 50674 and 50682 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 50682

Prime factors of 50682 are 2, 3, 8447. Prime factorization of 50682 in exponential form is:

50682 = 2¹ × 3¹ × 8447¹

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 50682

List of positive integer factors of 50682 that divides 50674 without a remainder.

1, 2, 3, 6, 8447, 16894, 25341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50674 and 50682. The biggest common factor number is the GCF number.
So the greatest common factor 50674 and 50682 is 2.

Also check out the Least Common Multiple of 50674 and 50682