What is the Greatest Common Factor of 50280 and 50300?

Greatest common factor (GCF) of 50280 and 50300 is 20.

GCF(50280,50300) = 20

We will now calculate the prime factors of 50280 and 50300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50280 and 50300.

How to find the GCF of 50280 and 50300?

We will first find the prime factorization of 50280 and 50300. After we will calculate the factors of 50280 and 50300 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 50300

Prime factors of 50300 are 2, 5, 503. Prime factorization of 50300 in exponential form is:

50300 = 2² × 5² × 503¹

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 50300

List of positive integer factors of 50300 that divides 50280 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 503, 1006, 2012, 2515, 5030, 10060, 12575, 25150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50280 and 50300. The biggest common factor number is the GCF number.
So the greatest common factor 50280 and 50300 is 20.

Also check out the Least Common Multiple of 50280 and 50300