What is the Greatest Common Factor of 50370 and 50382?

Greatest common factor (GCF) of 50370 and 50382 is 6.

GCF(50370,50382) = 6

We will now calculate the prime factors of 50370 and 50382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50370 and 50382.

How to find the GCF of 50370 and 50382?

We will first find the prime factorization of 50370 and 50382. After we will calculate the factors of 50370 and 50382 and find the biggest common factor number .

Step-1: Prime Factorization of 50370

Prime factors of 50370 are 2, 3, 5, 23, 73. Prime factorization of 50370 in exponential form is:

50370 = 2¹ × 3¹ × 5¹ × 23¹ × 73¹

Step-2: Prime Factorization of 50382

Prime factors of 50382 are 2, 3, 311. Prime factorization of 50382 in exponential form is:

50382 = 2¹ × 3⁴ × 311¹

Step-3: Factors of 50370

List of positive integer factors of 50370 that divides 50370 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 73, 115, 138, 146, 219, 230, 345, 365, 438, 690, 730, 1095, 1679, 2190, 3358, 5037, 8395, 10074, 16790, 25185

Step-4: Factors of 50382

List of positive integer factors of 50382 that divides 50370 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 311, 622, 933, 1866, 2799, 5598, 8397, 16794, 25191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50370 and 50382. The biggest common factor number is the GCF number.
So the greatest common factor 50370 and 50382 is 6.

Also check out the Least Common Multiple of 50370 and 50382