What is the Greatest Common Factor of 34438 and 34454?

Greatest common factor (GCF) of 34438 and 34454 is 2.

GCF(34438,34454) = 2

We will now calculate the prime factors of 34438 and 34454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34438 and 34454.

How to find the GCF of 34438 and 34454?

We will first find the prime factorization of 34438 and 34454. After we will calculate the factors of 34438 and 34454 and find the biggest common factor number .

Step-1: Prime Factorization of 34438

Prime factors of 34438 are 2, 67, 257. Prime factorization of 34438 in exponential form is:

34438 = 2¹ × 67¹ × 257¹

Step-2: Prime Factorization of 34454

Prime factors of 34454 are 2, 7, 23, 107. Prime factorization of 34454 in exponential form is:

34454 = 2¹ × 7¹ × 23¹ × 107¹

Step-3: Factors of 34438

List of positive integer factors of 34438 that divides 34438 without a remainder.

1, 2, 67, 134, 257, 514, 17219

Step-4: Factors of 34454

List of positive integer factors of 34454 that divides 34438 without a remainder.

1, 2, 7, 14, 23, 46, 107, 161, 214, 322, 749, 1498, 2461, 4922, 17227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34438 and 34454. The biggest common factor number is the GCF number.
So the greatest common factor 34438 and 34454 is 2.

Also check out the Least Common Multiple of 34438 and 34454