What is the Greatest Common Factor of 50709 and 50724?

Greatest common factor (GCF) of 50709 and 50724 is 3.

GCF(50709,50724) = 3

We will now calculate the prime factors of 50709 and 50724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50709 and 50724.

How to find the GCF of 50709 and 50724?

We will first find the prime factorization of 50709 and 50724. After we will calculate the factors of 50709 and 50724 and find the biggest common factor number .

Step-1: Prime Factorization of 50709

Prime factors of 50709 are 3, 16903. Prime factorization of 50709 in exponential form is:

50709 = 3¹ × 16903¹

Step-2: 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-3: Factors of 50709

List of positive integer factors of 50709 that divides 50709 without a remainder.

1, 3, 16903

Step-4: Factors of 50724

List of positive integer factors of 50724 that divides 50709 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50709 and 50724. The biggest common factor number is the GCF number.
So the greatest common factor 50709 and 50724 is 3.

Also check out the Least Common Multiple of 50709 and 50724