What is the Greatest Common Factor of 15414 and 15418?

Greatest common factor (GCF) of 15414 and 15418 is 2.

GCF(15414,15418) = 2

We will now calculate the prime factors of 15414 and 15418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15414 and 15418.

How to find the GCF of 15414 and 15418?

We will first find the prime factorization of 15414 and 15418. After we will calculate the factors of 15414 and 15418 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 15418

Prime factors of 15418 are 2, 13, 593. Prime factorization of 15418 in exponential form is:

15418 = 2¹ × 13¹ × 593¹

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 15418

List of positive integer factors of 15418 that divides 15414 without a remainder.

1, 2, 13, 26, 593, 1186, 7709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15414 and 15418. The biggest common factor number is the GCF number.
So the greatest common factor 15414 and 15418 is 2.

Also check out the Least Common Multiple of 15414 and 15418