What is the Greatest Common Factor of 50280 and 50285?

Greatest common factor (GCF) of 50280 and 50285 is 5.

GCF(50280,50285) = 5

We will now calculate the prime factors of 50280 and 50285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50280 and 50285.

How to find the GCF of 50280 and 50285?

We will first find the prime factorization of 50280 and 50285. After we will calculate the factors of 50280 and 50285 and find the biggest common factor number .

Step-1: Prime Factorization of 50280

Prime factors of 50280 are 2, 3, 5, 419. Prime factorization of 50280 in exponential form is:

50280 = 2³ × 3¹ × 5¹ × 419¹

Step-2: Prime Factorization of 50285

Prime factors of 50285 are 5, 89, 113. Prime factorization of 50285 in exponential form is:

50285 = 5¹ × 89¹ × 113¹

Step-3: Factors of 50280

List of positive integer factors of 50280 that divides 50280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 419, 838, 1257, 1676, 2095, 2514, 3352, 4190, 5028, 6285, 8380, 10056, 12570, 16760, 25140

Step-4: Factors of 50285

List of positive integer factors of 50285 that divides 50280 without a remainder.

1, 5, 89, 113, 445, 565, 10057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50280 and 50285. The biggest common factor number is the GCF number.
So the greatest common factor 50280 and 50285 is 5.

Also check out the Least Common Multiple of 50280 and 50285