What is the Greatest Common Factor of 50540 and 50547?

Greatest common factor (GCF) of 50540 and 50547 is 7.

GCF(50540,50547) = 7

We will now calculate the prime factors of 50540 and 50547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50540 and 50547.

How to find the GCF of 50540 and 50547?

We will first find the prime factorization of 50540 and 50547. After we will calculate the factors of 50540 and 50547 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50547

Prime factors of 50547 are 3, 7, 29, 83. Prime factorization of 50547 in exponential form is:

50547 = 3¹ × 7¹ × 29¹ × 83¹

Step-3: Factors of 50540

List of positive integer factors of 50540 that divides 50540 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

Step-4: Factors of 50547

List of positive integer factors of 50547 that divides 50540 without a remainder.

1, 3, 7, 21, 29, 83, 87, 203, 249, 581, 609, 1743, 2407, 7221, 16849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50540 and 50547. The biggest common factor number is the GCF number.
So the greatest common factor 50540 and 50547 is 7.

Also check out the Least Common Multiple of 50540 and 50547