What is the Greatest Common Factor of 50772 and 50784?

Greatest common factor (GCF) of 50772 and 50784 is 12.

GCF(50772,50784) = 12

We will now calculate the prime factors of 50772 and 50784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50772 and 50784.

How to find the GCF of 50772 and 50784?

We will first find the prime factorization of 50772 and 50784. After we will calculate the factors of 50772 and 50784 and find the biggest common factor number .

Step-1: Prime Factorization of 50772

Prime factors of 50772 are 2, 3, 4231. Prime factorization of 50772 in exponential form is:

50772 = 2² × 3¹ × 4231¹

Step-2: Prime Factorization of 50784

Prime factors of 50784 are 2, 3, 23. Prime factorization of 50784 in exponential form is:

50784 = 2⁵ × 3¹ × 23²

Step-3: Factors of 50772

List of positive integer factors of 50772 that divides 50772 without a remainder.

1, 2, 3, 4, 6, 12, 4231, 8462, 12693, 16924, 25386

Step-4: Factors of 50784

List of positive integer factors of 50784 that divides 50772 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96, 138, 184, 276, 368, 529, 552, 736, 1058, 1104, 1587, 2116, 2208, 3174, 4232, 6348, 8464, 12696, 16928, 25392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50772 and 50784. The biggest common factor number is the GCF number.
So the greatest common factor 50772 and 50784 is 12.

Also check out the Least Common Multiple of 50772 and 50784