What is the Greatest Common Factor of 50526 and 50540?

Greatest common factor (GCF) of 50526 and 50540 is 14.

GCF(50526,50540) = 14

We will now calculate the prime factors of 50526 and 50540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50526 and 50540.

How to find the GCF of 50526 and 50540?

We will first find the prime factorization of 50526 and 50540. After we will calculate the factors of 50526 and 50540 and find the biggest common factor number .

Step-1: Prime Factorization of 50526

Prime factors of 50526 are 2, 3, 7, 401. Prime factorization of 50526 in exponential form is:

50526 = 2¹ × 3² × 7¹ × 401¹

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 50526

List of positive integer factors of 50526 that divides 50526 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 401, 802, 1203, 2406, 2807, 3609, 5614, 7218, 8421, 16842, 25263

Step-4: Factors of 50540

List of positive integer factors of 50540 that divides 50526 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 50526 and 50540. The biggest common factor number is the GCF number.
So the greatest common factor 50526 and 50540 is 14.

Also check out the Least Common Multiple of 50526 and 50540