What is the Greatest Common Factor of 50724 and 50738?

Greatest common factor (GCF) of 50724 and 50738 is 2.

GCF(50724,50738) = 2

We will now calculate the prime factors of 50724 and 50738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50724 and 50738.

How to find the GCF of 50724 and 50738?

We will first find the prime factorization of 50724 and 50738. After we will calculate the factors of 50724 and 50738 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 50738

Prime factors of 50738 are 2, 23, 1103. Prime factorization of 50738 in exponential form is:

50738 = 2¹ × 23¹ × 1103¹

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 50738

List of positive integer factors of 50738 that divides 50724 without a remainder.

1, 2, 23, 46, 1103, 2206, 25369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50724 and 50738. The biggest common factor number is the GCF number.
So the greatest common factor 50724 and 50738 is 2.

Also check out the Least Common Multiple of 50724 and 50738