What is the Greatest Common Factor of 50280 and 50298?

Greatest common factor (GCF) of 50280 and 50298 is 6.

GCF(50280,50298) = 6

We will now calculate the prime factors of 50280 and 50298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50280 and 50298.

How to find the GCF of 50280 and 50298?

We will first find the prime factorization of 50280 and 50298. After we will calculate the factors of 50280 and 50298 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 50298

Prime factors of 50298 are 2, 3, 83, 101. Prime factorization of 50298 in exponential form is:

50298 = 2¹ × 3¹ × 83¹ × 101¹

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 50298

List of positive integer factors of 50298 that divides 50280 without a remainder.

1, 2, 3, 6, 83, 101, 166, 202, 249, 303, 498, 606, 8383, 16766, 25149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50280 and 50298. The biggest common factor number is the GCF number.
So the greatest common factor 50280 and 50298 is 6.

Also check out the Least Common Multiple of 50280 and 50298