What is the Greatest Common Factor of 42300 and 42310?

Greatest common factor (GCF) of 42300 and 42310 is 10.

GCF(42300,42310) = 10

We will now calculate the prime factors of 42300 and 42310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42300 and 42310.

How to find the GCF of 42300 and 42310?

We will first find the prime factorization of 42300 and 42310. After we will calculate the factors of 42300 and 42310 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 42310

Prime factors of 42310 are 2, 5, 4231. Prime factorization of 42310 in exponential form is:

42310 = 2¹ × 5¹ × 4231¹

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 42310

List of positive integer factors of 42310 that divides 42300 without a remainder.

1, 2, 5, 10, 4231, 8462, 21155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42300 and 42310. The biggest common factor number is the GCF number.
So the greatest common factor 42300 and 42310 is 10.

Also check out the Least Common Multiple of 42300 and 42310