What is the Greatest Common Factor of 50763 and 50778?

Greatest common factor (GCF) of 50763 and 50778 is 3.

GCF(50763,50778) = 3

We will now calculate the prime factors of 50763 and 50778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50763 and 50778.

How to find the GCF of 50763 and 50778?

We will first find the prime factorization of 50763 and 50778. After we will calculate the factors of 50763 and 50778 and find the biggest common factor number .

Step-1: Prime Factorization of 50763

Prime factors of 50763 are 3, 16921. Prime factorization of 50763 in exponential form is:

50763 = 3¹ × 16921¹

Step-2: Prime Factorization of 50778

Prime factors of 50778 are 2, 3, 7, 13, 31. Prime factorization of 50778 in exponential form is:

50778 = 2¹ × 3² × 7¹ × 13¹ × 31¹

Step-3: Factors of 50763

List of positive integer factors of 50763 that divides 50763 without a remainder.

1, 3, 16921

Step-4: Factors of 50778

List of positive integer factors of 50778 that divides 50763 without a remainder.

1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 31, 39, 42, 62, 63, 78, 91, 93, 117, 126, 182, 186, 217, 234, 273, 279, 403, 434, 546, 558, 651, 806, 819, 1209, 1302, 1638, 1953, 2418, 2821, 3627, 3906, 5642, 7254, 8463, 16926, 25389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50763 and 50778. The biggest common factor number is the GCF number.
So the greatest common factor 50763 and 50778 is 3.

Also check out the Least Common Multiple of 50763 and 50778