What is the Greatest Common Factor of 30414 and 30434?

Greatest common factor (GCF) of 30414 and 30434 is 2.

GCF(30414,30434) = 2

We will now calculate the prime factors of 30414 and 30434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30414 and 30434.

How to find the GCF of 30414 and 30434?

We will first find the prime factorization of 30414 and 30434. After we will calculate the factors of 30414 and 30434 and find the biggest common factor number .

Step-1: Prime Factorization of 30414

Prime factors of 30414 are 2, 3, 37, 137. Prime factorization of 30414 in exponential form is:

30414 = 2¹ × 3¹ × 37¹ × 137¹

Step-2: Prime Factorization of 30434

Prime factors of 30434 are 2, 15217. Prime factorization of 30434 in exponential form is:

30434 = 2¹ × 15217¹

Step-3: Factors of 30414

List of positive integer factors of 30414 that divides 30414 without a remainder.

1, 2, 3, 6, 37, 74, 111, 137, 222, 274, 411, 822, 5069, 10138, 15207

Step-4: Factors of 30434

List of positive integer factors of 30434 that divides 30414 without a remainder.

1, 2, 15217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30414 and 30434. The biggest common factor number is the GCF number.
So the greatest common factor 30414 and 30434 is 2.

Also check out the Least Common Multiple of 30414 and 30434