What is the Greatest Common Factor of 50704 and 50724?

Greatest common factor (GCF) of 50704 and 50724 is 4.

GCF(50704,50724) = 4

We will now calculate the prime factors of 50704 and 50724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50704 and 50724.

How to find the GCF of 50704 and 50724?

We will first find the prime factorization of 50704 and 50724. After we will calculate the factors of 50704 and 50724 and find the biggest common factor number .

Step-1: Prime Factorization of 50704

Prime factors of 50704 are 2, 3169. Prime factorization of 50704 in exponential form is:

50704 = 2⁴ × 3169¹

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 50704

List of positive integer factors of 50704 that divides 50704 without a remainder.

1, 2, 4, 8, 16, 3169, 6338, 12676, 25352

Step-4: Factors of 50724

List of positive integer factors of 50724 that divides 50704 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 50704 and 50724. The biggest common factor number is the GCF number.
So the greatest common factor 50704 and 50724 is 4.

Also check out the Least Common Multiple of 50704 and 50724