What is the Greatest Common Factor of 50742 and 50757?

Greatest common factor (GCF) of 50742 and 50757 is 3.

GCF(50742,50757) = 3

We will now calculate the prime factors of 50742 and 50757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50742 and 50757.

How to find the GCF of 50742 and 50757?

We will first find the prime factorization of 50742 and 50757. After we will calculate the factors of 50742 and 50757 and find the biggest common factor number .

Step-1: Prime Factorization of 50742

Prime factors of 50742 are 2, 3, 2819. Prime factorization of 50742 in exponential form is:

50742 = 2¹ × 3² × 2819¹

Step-2: Prime Factorization of 50757

Prime factors of 50757 are 3, 7, 2417. Prime factorization of 50757 in exponential form is:

50757 = 3¹ × 7¹ × 2417¹

Step-3: Factors of 50742

List of positive integer factors of 50742 that divides 50742 without a remainder.

1, 2, 3, 6, 9, 18, 2819, 5638, 8457, 16914, 25371

Step-4: Factors of 50757

List of positive integer factors of 50757 that divides 50742 without a remainder.

1, 3, 7, 21, 2417, 7251, 16919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50742 and 50757. The biggest common factor number is the GCF number.
So the greatest common factor 50742 and 50757 is 3.

Also check out the Least Common Multiple of 50742 and 50757