What is the Greatest Common Factor of 50280 and 50290?

Greatest common factor (GCF) of 50280 and 50290 is 10.

GCF(50280,50290) = 10

We will now calculate the prime factors of 50280 and 50290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50280 and 50290.

How to find the GCF of 50280 and 50290?

We will first find the prime factorization of 50280 and 50290. After we will calculate the factors of 50280 and 50290 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 50290

Prime factors of 50290 are 2, 5, 47, 107. Prime factorization of 50290 in exponential form is:

50290 = 2¹ × 5¹ × 47¹ × 107¹

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 50290

List of positive integer factors of 50290 that divides 50280 without a remainder.

1, 2, 5, 10, 47, 94, 107, 214, 235, 470, 535, 1070, 5029, 10058, 25145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50280 and 50290. The biggest common factor number is the GCF number.
So the greatest common factor 50280 and 50290 is 10.

Also check out the Least Common Multiple of 50280 and 50290