What is the Greatest Common Factor of 42300 and 42313?

Greatest common factor (GCF) of 42300 and 42313 is 1.

GCF(42300,42313) = 1

We will now calculate the prime factors of 42300 and 42313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42300 and 42313.

How to find the GCF of 42300 and 42313?

We will first find the prime factorization of 42300 and 42313. After we will calculate the factors of 42300 and 42313 and find the biggest common factor number .

Step-1: Prime Factorization of 42300

Prime factors of 42300 are 2, 3, 5, 47. Prime factorization of 42300 in exponential form is:

42300 = 2² × 3² × 5² × 47¹

Step-2: Prime Factorization of 42313

Prime factors of 42313 are 17, 19, 131. Prime factorization of 42313 in exponential form is:

42313 = 17¹ × 19¹ × 131¹

Step-3: Factors of 42300

List of positive integer factors of 42300 that divides 42300 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 47, 50, 60, 75, 90, 94, 100, 141, 150, 180, 188, 225, 235, 282, 300, 423, 450, 470, 564, 705, 846, 900, 940, 1175, 1410, 1692, 2115, 2350, 2820, 3525, 4230, 4700, 7050, 8460, 10575, 14100, 21150

Step-4: Factors of 42313

List of positive integer factors of 42313 that divides 42300 without a remainder.

1, 17, 19, 131, 323, 2227, 2489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42300 and 42313. The biggest common factor number is the GCF number.
So the greatest common factor 42300 and 42313 is 1.

Also check out the Least Common Multiple of 42300 and 42313