What is the Greatest Common Factor of 50300 and 50312?

Greatest common factor (GCF) of 50300 and 50312 is 4.

GCF(50300,50312) = 4

We will now calculate the prime factors of 50300 and 50312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50300 and 50312.

How to find the GCF of 50300 and 50312?

We will first find the prime factorization of 50300 and 50312. After we will calculate the factors of 50300 and 50312 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50312

Prime factors of 50312 are 2, 19, 331. Prime factorization of 50312 in exponential form is:

50312 = 2³ × 19¹ × 331¹

Step-3: Factors of 50300

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

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

Step-4: Factors of 50312

List of positive integer factors of 50312 that divides 50300 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 331, 662, 1324, 2648, 6289, 12578, 25156

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50300 and 50312. The biggest common factor number is the GCF number.
So the greatest common factor 50300 and 50312 is 4.

Also check out the Least Common Multiple of 50300 and 50312