What is the Greatest Common Factor of 34658 and 34666?

Greatest common factor (GCF) of 34658 and 34666 is 2.

GCF(34658,34666) = 2

We will now calculate the prime factors of 34658 and 34666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34658 and 34666.

How to find the GCF of 34658 and 34666?

We will first find the prime factorization of 34658 and 34666. After we will calculate the factors of 34658 and 34666 and find the biggest common factor number .

Step-1: Prime Factorization of 34658

Prime factors of 34658 are 2, 13, 31, 43. Prime factorization of 34658 in exponential form is:

34658 = 2¹ × 13¹ × 31¹ × 43¹

Step-2: Prime Factorization of 34666

Prime factors of 34666 are 2, 17333. Prime factorization of 34666 in exponential form is:

34666 = 2¹ × 17333¹

Step-3: Factors of 34658

List of positive integer factors of 34658 that divides 34658 without a remainder.

1, 2, 13, 26, 31, 43, 62, 86, 403, 559, 806, 1118, 1333, 2666, 17329

Step-4: Factors of 34666

List of positive integer factors of 34666 that divides 34658 without a remainder.

1, 2, 17333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34658 and 34666. The biggest common factor number is the GCF number.
So the greatest common factor 34658 and 34666 is 2.

Also check out the Least Common Multiple of 34658 and 34666