What is the Greatest Common Factor of 42320 and 42325?

Greatest common factor (GCF) of 42320 and 42325 is 5.

GCF(42320,42325) = 5

We will now calculate the prime factors of 42320 and 42325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42320 and 42325.

How to find the GCF of 42320 and 42325?

We will first find the prime factorization of 42320 and 42325. After we will calculate the factors of 42320 and 42325 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 42325

Prime factors of 42325 are 5, 1693. Prime factorization of 42325 in exponential form is:

42325 = 5² × 1693¹

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 42325

List of positive integer factors of 42325 that divides 42320 without a remainder.

1, 5, 25, 1693, 8465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42320 and 42325. The biggest common factor number is the GCF number.
So the greatest common factor 42320 and 42325 is 5.

Also check out the Least Common Multiple of 42320 and 42325