What is the Greatest Common Factor of 34417 and 34426?

Greatest common factor (GCF) of 34417 and 34426 is 1.

GCF(34417,34426) = 1

We will now calculate the prime factors of 34417 and 34426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34417 and 34426.

How to find the GCF of 34417 and 34426?

We will first find the prime factorization of 34417 and 34426. After we will calculate the factors of 34417 and 34426 and find the biggest common factor number .

Step-1: Prime Factorization of 34417

Prime factors of 34417 are 127, 271. Prime factorization of 34417 in exponential form is:

34417 = 127¹ × 271¹

Step-2: Prime Factorization of 34426

Prime factors of 34426 are 2, 7, 2459. Prime factorization of 34426 in exponential form is:

34426 = 2¹ × 7¹ × 2459¹

Step-3: Factors of 34417

List of positive integer factors of 34417 that divides 34417 without a remainder.

1, 127, 271

Step-4: Factors of 34426

List of positive integer factors of 34426 that divides 34417 without a remainder.

1, 2, 7, 14, 2459, 4918, 17213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34417 and 34426. The biggest common factor number is the GCF number.
So the greatest common factor 34417 and 34426 is 1.

Also check out the Least Common Multiple of 34417 and 34426