What is the Greatest Common Factor of 39414 and 39427?

Greatest common factor (GCF) of 39414 and 39427 is 1.

GCF(39414,39427) = 1

We will now calculate the prime factors of 39414 and 39427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39414 and 39427.

How to find the GCF of 39414 and 39427?

We will first find the prime factorization of 39414 and 39427. After we will calculate the factors of 39414 and 39427 and find the biggest common factor number .

Step-1: Prime Factorization of 39414

Prime factors of 39414 are 2, 3, 6569. Prime factorization of 39414 in exponential form is:

39414 = 2¹ × 3¹ × 6569¹

Step-2: Prime Factorization of 39427

Prime factors of 39427 are 89, 443. Prime factorization of 39427 in exponential form is:

39427 = 89¹ × 443¹

Step-3: Factors of 39414

List of positive integer factors of 39414 that divides 39414 without a remainder.

1, 2, 3, 6, 6569, 13138, 19707

Step-4: Factors of 39427

List of positive integer factors of 39427 that divides 39414 without a remainder.

1, 89, 443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39414 and 39427. The biggest common factor number is the GCF number.
So the greatest common factor 39414 and 39427 is 1.

Also check out the Least Common Multiple of 39414 and 39427