What is the Greatest Common Factor of 50724 and 50736?

Greatest common factor (GCF) of 50724 and 50736 is 12.

GCF(50724,50736) = 12

We will now calculate the prime factors of 50724 and 50736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50724 and 50736.

How to find the GCF of 50724 and 50736?

We will first find the prime factorization of 50724 and 50736. After we will calculate the factors of 50724 and 50736 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 50736

Prime factors of 50736 are 2, 3, 7, 151. Prime factorization of 50736 in exponential form is:

50736 = 2⁴ × 3¹ × 7¹ × 151¹

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 50736

List of positive integer factors of 50736 that divides 50724 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 151, 168, 302, 336, 453, 604, 906, 1057, 1208, 1812, 2114, 2416, 3171, 3624, 4228, 6342, 7248, 8456, 12684, 16912, 25368

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50724 and 50736. The biggest common factor number is the GCF number.
So the greatest common factor 50724 and 50736 is 12.

Also check out the Least Common Multiple of 50724 and 50736