What is the Greatest Common Factor of 50724 and 50742?

Greatest common factor (GCF) of 50724 and 50742 is 18.

GCF(50724,50742) = 18

We will now calculate the prime factors of 50724 and 50742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50724 and 50742.

How to find the GCF of 50724 and 50742?

We will first find the prime factorization of 50724 and 50742. After we will calculate the factors of 50724 and 50742 and find the biggest common factor number .

Step-1: Prime Factorization of 50724

Prime factors of 50724 are 2, 3, 1409. Prime factorization of 50724 in exponential form is:

50724 = 2² × 3² × 1409¹

Step-2: 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-3: Factors of 50724

List of positive integer factors of 50724 that divides 50724 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1409, 2818, 4227, 5636, 8454, 12681, 16908, 25362

Step-4: Factors of 50742

List of positive integer factors of 50742 that divides 50724 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50724 and 50742. The biggest common factor number is the GCF number.
So the greatest common factor 50724 and 50742 is 18.

Also check out the Least Common Multiple of 50724 and 50742