What is the Greatest Common Factor of 42313 and 42330?

Greatest common factor (GCF) of 42313 and 42330 is 17.

GCF(42313,42330) = 17

We will now calculate the prime factors of 42313 and 42330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42313 and 42330.

How to find the GCF of 42313 and 42330?

We will first find the prime factorization of 42313 and 42330. After we will calculate the factors of 42313 and 42330 and find the biggest common factor number .

Step-1: 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-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 42313

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

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

Step-4: Factors of 42330

List of positive integer factors of 42330 that divides 42313 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 42313 and 42330. The biggest common factor number is the GCF number.
So the greatest common factor 42313 and 42330 is 17.

Also check out the Least Common Multiple of 42313 and 42330