What is the Greatest Common Factor of 50521 and 50540?

Greatest common factor (GCF) of 50521 and 50540 is 19.

GCF(50521,50540) = 19

We will now calculate the prime factors of 50521 and 50540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50521 and 50540.

How to find the GCF of 50521 and 50540?

We will first find the prime factorization of 50521 and 50540. After we will calculate the factors of 50521 and 50540 and find the biggest common factor number .

Step-1: Prime Factorization of 50521

Prime factors of 50521 are 19, 2659. Prime factorization of 50521 in exponential form is:

50521 = 19¹ × 2659¹

Step-2: Prime Factorization of 50540

Prime factors of 50540 are 2, 5, 7, 19. Prime factorization of 50540 in exponential form is:

50540 = 2² × 5¹ × 7¹ × 19²

Step-3: Factors of 50521

List of positive integer factors of 50521 that divides 50521 without a remainder.

1, 19, 2659

Step-4: Factors of 50540

List of positive integer factors of 50540 that divides 50521 without a remainder.

1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 38, 70, 76, 95, 133, 140, 190, 266, 361, 380, 532, 665, 722, 1330, 1444, 1805, 2527, 2660, 3610, 5054, 7220, 10108, 12635, 25270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50521 and 50540. The biggest common factor number is the GCF number.
So the greatest common factor 50521 and 50540 is 19.

Also check out the Least Common Multiple of 50521 and 50540