What is the Greatest Common Factor of 15414 and 15427?

Greatest common factor (GCF) of 15414 and 15427 is 1.

GCF(15414,15427) = 1

We will now calculate the prime factors of 15414 and 15427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15414 and 15427.

How to find the GCF of 15414 and 15427?

We will first find the prime factorization of 15414 and 15427. After we will calculate the factors of 15414 and 15427 and find the biggest common factor number .

Step-1: Prime Factorization of 15414

Prime factors of 15414 are 2, 3, 7, 367. Prime factorization of 15414 in exponential form is:

15414 = 2¹ × 3¹ × 7¹ × 367¹

Step-2: Prime Factorization of 15427

Prime factors of 15427 are 15427. Prime factorization of 15427 in exponential form is:

15427 = 15427¹

Step-3: Factors of 15414

List of positive integer factors of 15414 that divides 15414 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 367, 734, 1101, 2202, 2569, 5138, 7707

Step-4: Factors of 15427

List of positive integer factors of 15427 that divides 15414 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15414 and 15427. The biggest common factor number is the GCF number.
So the greatest common factor 15414 and 15427 is 1.

Also check out the Least Common Multiple of 15414 and 15427