What is the Greatest Common Factor of 50765 and 50778?

Greatest common factor (GCF) of 50765 and 50778 is 13.

GCF(50765,50778) = 13

We will now calculate the prime factors of 50765 and 50778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50765 and 50778.

How to find the GCF of 50765 and 50778?

We will first find the prime factorization of 50765 and 50778. After we will calculate the factors of 50765 and 50778 and find the biggest common factor number .

Step-1: Prime Factorization of 50765

Prime factors of 50765 are 5, 11, 13, 71. Prime factorization of 50765 in exponential form is:

50765 = 5¹ × 11¹ × 13¹ × 71¹

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 50765

List of positive integer factors of 50765 that divides 50765 without a remainder.

1, 5, 11, 13, 55, 65, 71, 143, 355, 715, 781, 923, 3905, 4615, 10153

Step-4: Factors of 50778

List of positive integer factors of 50778 that divides 50765 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 50765 and 50778. The biggest common factor number is the GCF number.
So the greatest common factor 50765 and 50778 is 13.

Also check out the Least Common Multiple of 50765 and 50778