What is the Greatest Common Factor of 50772 and 50781?

Greatest common factor (GCF) of 50772 and 50781 is 3.

GCF(50772,50781) = 3

We will now calculate the prime factors of 50772 and 50781, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50772 and 50781.

How to find the GCF of 50772 and 50781?

We will first find the prime factorization of 50772 and 50781. After we will calculate the factors of 50772 and 50781 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 50781

Prime factors of 50781 are 3, 16927. Prime factorization of 50781 in exponential form is:

50781 = 3¹ × 16927¹

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 50781

List of positive integer factors of 50781 that divides 50772 without a remainder.

1, 3, 16927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50772 and 50781. The biggest common factor number is the GCF number.
So the greatest common factor 50772 and 50781 is 3.

Also check out the Least Common Multiple of 50772 and 50781