What is the Greatest Common Factor of 42330 and 42345?

Greatest common factor (GCF) of 42330 and 42345 is 15.

GCF(42330,42345) = 15

We will now calculate the prime factors of 42330 and 42345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42330 and 42345.

How to find the GCF of 42330 and 42345?

We will first find the prime factorization of 42330 and 42345. After we will calculate the factors of 42330 and 42345 and find the biggest common factor number .

Step-1: Prime Factorization of 42330

Prime factors of 42330 are 2, 3, 5, 17, 83. Prime factorization of 42330 in exponential form is:

42330 = 2¹ × 3¹ × 5¹ × 17¹ × 83¹

Step-2: Prime Factorization of 42345

Prime factors of 42345 are 3, 5, 941. Prime factorization of 42345 in exponential form is:

42345 = 3² × 5¹ × 941¹

Step-3: Factors of 42330

List of positive integer factors of 42330 that divides 42330 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 83, 85, 102, 166, 170, 249, 255, 415, 498, 510, 830, 1245, 1411, 2490, 2822, 4233, 7055, 8466, 14110, 21165

Step-4: Factors of 42345

List of positive integer factors of 42345 that divides 42330 without a remainder.

1, 3, 5, 9, 15, 45, 941, 2823, 4705, 8469, 14115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42330 and 42345. The biggest common factor number is the GCF number.
So the greatest common factor 42330 and 42345 is 15.

Also check out the Least Common Multiple of 42330 and 42345