What is the Greatest Common Factor of 32414 and 32418?

Greatest common factor (GCF) of 32414 and 32418 is 2.

GCF(32414,32418) = 2

We will now calculate the prime factors of 32414 and 32418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32414 and 32418.

How to find the GCF of 32414 and 32418?

We will first find the prime factorization of 32414 and 32418. After we will calculate the factors of 32414 and 32418 and find the biggest common factor number .

Step-1: Prime Factorization of 32414

Prime factors of 32414 are 2, 19, 853. Prime factorization of 32414 in exponential form is:

32414 = 2¹ × 19¹ × 853¹

Step-2: Prime Factorization of 32418

Prime factors of 32418 are 2, 3, 1801. Prime factorization of 32418 in exponential form is:

32418 = 2¹ × 3² × 1801¹

Step-3: Factors of 32414

List of positive integer factors of 32414 that divides 32414 without a remainder.

1, 2, 19, 38, 853, 1706, 16207

Step-4: Factors of 32418

List of positive integer factors of 32418 that divides 32414 without a remainder.

1, 2, 3, 6, 9, 18, 1801, 3602, 5403, 10806, 16209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32414 and 32418. The biggest common factor number is the GCF number.
So the greatest common factor 32414 and 32418 is 2.

Also check out the Least Common Multiple of 32414 and 32418