What is the Greatest Common Factor of 42320 and 42340?

Greatest common factor (GCF) of 42320 and 42340 is 20.

GCF(42320,42340) = 20

We will now calculate the prime factors of 42320 and 42340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42320 and 42340.

How to find the GCF of 42320 and 42340?

We will first find the prime factorization of 42320 and 42340. After we will calculate the factors of 42320 and 42340 and find the biggest common factor number .

Step-1: Prime Factorization of 42320

Prime factors of 42320 are 2, 5, 23. Prime factorization of 42320 in exponential form is:

42320 = 2⁴ × 5¹ × 23²

Step-2: Prime Factorization of 42340

Prime factors of 42340 are 2, 5, 29, 73. Prime factorization of 42340 in exponential form is:

42340 = 2² × 5¹ × 29¹ × 73¹

Step-3: Factors of 42320

List of positive integer factors of 42320 that divides 42320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 529, 920, 1058, 1840, 2116, 2645, 4232, 5290, 8464, 10580, 21160

Step-4: Factors of 42340

List of positive integer factors of 42340 that divides 42320 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 73, 116, 145, 146, 290, 292, 365, 580, 730, 1460, 2117, 4234, 8468, 10585, 21170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42320 and 42340. The biggest common factor number is the GCF number.
So the greatest common factor 42320 and 42340 is 20.

Also check out the Least Common Multiple of 42320 and 42340