What is the Greatest Common Factor of 42310 and 42330?

Greatest common factor (GCF) of 42310 and 42330 is 10.

GCF(42310,42330) = 10

We will now calculate the prime factors of 42310 and 42330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42310 and 42330.

How to find the GCF of 42310 and 42330?

We will first find the prime factorization of 42310 and 42330. After we will calculate the factors of 42310 and 42330 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 42310

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

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

Step-4: Factors of 42330

List of positive integer factors of 42330 that divides 42310 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42310 and 42330. The biggest common factor number is the GCF number.
So the greatest common factor 42310 and 42330 is 10.

Also check out the Least Common Multiple of 42310 and 42330