What is the Greatest Common Factor of 27414 and 27419?

Greatest common factor (GCF) of 27414 and 27419 is 1.

GCF(27414,27419) = 1

We will now calculate the prime factors of 27414 and 27419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27414 and 27419.

How to find the GCF of 27414 and 27419?

We will first find the prime factorization of 27414 and 27419. After we will calculate the factors of 27414 and 27419 and find the biggest common factor number .

Step-1: Prime Factorization of 27414

Prime factors of 27414 are 2, 3, 1523. Prime factorization of 27414 in exponential form is:

27414 = 2¹ × 3² × 1523¹

Step-2: Prime Factorization of 27419

Prime factors of 27419 are 7, 3917. Prime factorization of 27419 in exponential form is:

27419 = 7¹ × 3917¹

Step-3: Factors of 27414

List of positive integer factors of 27414 that divides 27414 without a remainder.

1, 2, 3, 6, 9, 18, 1523, 3046, 4569, 9138, 13707

Step-4: Factors of 27419

List of positive integer factors of 27419 that divides 27414 without a remainder.

1, 7, 3917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27414 and 27419. The biggest common factor number is the GCF number.
So the greatest common factor 27414 and 27419 is 1.

Also check out the Least Common Multiple of 27414 and 27419