What is the Greatest Common Factor of 34600 and 34614?

Greatest common factor (GCF) of 34600 and 34614 is 2.

GCF(34600,34614) = 2

We will now calculate the prime factors of 34600 and 34614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34600 and 34614.

How to find the GCF of 34600 and 34614?

We will first find the prime factorization of 34600 and 34614. After we will calculate the factors of 34600 and 34614 and find the biggest common factor number .

Step-1: Prime Factorization of 34600

Prime factors of 34600 are 2, 5, 173. Prime factorization of 34600 in exponential form is:

34600 = 2³ × 5² × 173¹

Step-2: Prime Factorization of 34614

Prime factors of 34614 are 2, 3, 641. Prime factorization of 34614 in exponential form is:

34614 = 2¹ × 3³ × 641¹

Step-3: Factors of 34600

List of positive integer factors of 34600 that divides 34600 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 173, 200, 346, 692, 865, 1384, 1730, 3460, 4325, 6920, 8650, 17300

Step-4: Factors of 34614

List of positive integer factors of 34614 that divides 34600 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 641, 1282, 1923, 3846, 5769, 11538, 17307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34600 and 34614. The biggest common factor number is the GCF number.
So the greatest common factor 34600 and 34614 is 2.

Also check out the Least Common Multiple of 34600 and 34614