What is the Greatest Common Factor of 50742 and 50751?

Greatest common factor (GCF) of 50742 and 50751 is 9.

GCF(50742,50751) = 9

We will now calculate the prime factors of 50742 and 50751, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50742 and 50751.

How to find the GCF of 50742 and 50751?

We will first find the prime factorization of 50742 and 50751. After we will calculate the factors of 50742 and 50751 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 50751

Prime factors of 50751 are 3, 5639. Prime factorization of 50751 in exponential form is:

50751 = 3² × 5639¹

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 50751

List of positive integer factors of 50751 that divides 50742 without a remainder.

1, 3, 9, 5639, 16917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50742 and 50751. The biggest common factor number is the GCF number.
So the greatest common factor 50742 and 50751 is 9.

Also check out the Least Common Multiple of 50742 and 50751