What is the Greatest Common Factor of 50780 and 50790?

Greatest common factor (GCF) of 50780 and 50790 is 10.

GCF(50780,50790) = 10

We will now calculate the prime factors of 50780 and 50790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50780 and 50790.

How to find the GCF of 50780 and 50790?

We will first find the prime factorization of 50780 and 50790. After we will calculate the factors of 50780 and 50790 and find the biggest common factor number .

Step-1: Prime Factorization of 50780

Prime factors of 50780 are 2, 5, 2539. Prime factorization of 50780 in exponential form is:

50780 = 2² × 5¹ × 2539¹

Step-2: Prime Factorization of 50790

Prime factors of 50790 are 2, 3, 5, 1693. Prime factorization of 50790 in exponential form is:

50790 = 2¹ × 3¹ × 5¹ × 1693¹

Step-3: Factors of 50780

List of positive integer factors of 50780 that divides 50780 without a remainder.

1, 2, 4, 5, 10, 20, 2539, 5078, 10156, 12695, 25390

Step-4: Factors of 50790

List of positive integer factors of 50790 that divides 50780 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1693, 3386, 5079, 8465, 10158, 16930, 25395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50780 and 50790. The biggest common factor number is the GCF number.
So the greatest common factor 50780 and 50790 is 10.

Also check out the Least Common Multiple of 50780 and 50790