What is the Greatest Common Factor of 20414 and 20434?

Greatest common factor (GCF) of 20414 and 20434 is 2.

GCF(20414,20434) = 2

We will now calculate the prime factors of 20414 and 20434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20414 and 20434.

How to find the GCF of 20414 and 20434?

We will first find the prime factorization of 20414 and 20434. After we will calculate the factors of 20414 and 20434 and find the biggest common factor number .

Step-1: Prime Factorization of 20414

Prime factors of 20414 are 2, 59, 173. Prime factorization of 20414 in exponential form is:

20414 = 2¹ × 59¹ × 173¹

Step-2: Prime Factorization of 20434

Prime factors of 20434 are 2, 17, 601. Prime factorization of 20434 in exponential form is:

20434 = 2¹ × 17¹ × 601¹

Step-3: Factors of 20414

List of positive integer factors of 20414 that divides 20414 without a remainder.

1, 2, 59, 118, 173, 346, 10207

Step-4: Factors of 20434

List of positive integer factors of 20434 that divides 20414 without a remainder.

1, 2, 17, 34, 601, 1202, 10217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20414 and 20434. The biggest common factor number is the GCF number.
So the greatest common factor 20414 and 20434 is 2.

Also check out the Least Common Multiple of 20414 and 20434