What is the Greatest Common Factor of 50300 and 50310?

Greatest common factor (GCF) of 50300 and 50310 is 10.

GCF(50300,50310) = 10

We will now calculate the prime factors of 50300 and 50310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50300 and 50310.

How to find the GCF of 50300 and 50310?

We will first find the prime factorization of 50300 and 50310. After we will calculate the factors of 50300 and 50310 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 50310

Prime factors of 50310 are 2, 3, 5, 13, 43. Prime factorization of 50310 in exponential form is:

50310 = 2¹ × 3² × 5¹ × 13¹ × 43¹

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 50310

List of positive integer factors of 50310 that divides 50300 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 43, 45, 65, 78, 86, 90, 117, 129, 130, 195, 215, 234, 258, 387, 390, 430, 559, 585, 645, 774, 1118, 1170, 1290, 1677, 1935, 2795, 3354, 3870, 5031, 5590, 8385, 10062, 16770, 25155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50300 and 50310. The biggest common factor number is the GCF number.
So the greatest common factor 50300 and 50310 is 10.

Also check out the Least Common Multiple of 50300 and 50310