What is the Greatest Common Factor of 40314 and 40325?

Greatest common factor (GCF) of 40314 and 40325 is 1.

GCF(40314,40325) = 1

We will now calculate the prime factors of 40314 and 40325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40314 and 40325.

How to find the GCF of 40314 and 40325?

We will first find the prime factorization of 40314 and 40325. After we will calculate the factors of 40314 and 40325 and find the biggest common factor number .

Step-1: Prime Factorization of 40314

Prime factors of 40314 are 2, 3, 6719. Prime factorization of 40314 in exponential form is:

40314 = 2¹ × 3¹ × 6719¹

Step-2: Prime Factorization of 40325

Prime factors of 40325 are 5, 1613. Prime factorization of 40325 in exponential form is:

40325 = 5² × 1613¹

Step-3: Factors of 40314

List of positive integer factors of 40314 that divides 40314 without a remainder.

1, 2, 3, 6, 6719, 13438, 20157

Step-4: Factors of 40325

List of positive integer factors of 40325 that divides 40314 without a remainder.

1, 5, 25, 1613, 8065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40314 and 40325. The biggest common factor number is the GCF number.
So the greatest common factor 40314 and 40325 is 1.

Also check out the Least Common Multiple of 40314 and 40325