What is the Greatest Common Factor of 34675 and 34694?

Greatest common factor (GCF) of 34675 and 34694 is 19.

GCF(34675,34694) = 19

We will now calculate the prime factors of 34675 and 34694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34675 and 34694.

How to find the GCF of 34675 and 34694?

We will first find the prime factorization of 34675 and 34694. After we will calculate the factors of 34675 and 34694 and find the biggest common factor number .

Step-1: Prime Factorization of 34675

Prime factors of 34675 are 5, 19, 73. Prime factorization of 34675 in exponential form is:

34675 = 5² × 19¹ × 73¹

Step-2: Prime Factorization of 34694

Prime factors of 34694 are 2, 11, 19, 83. Prime factorization of 34694 in exponential form is:

34694 = 2¹ × 11¹ × 19¹ × 83¹

Step-3: Factors of 34675

List of positive integer factors of 34675 that divides 34675 without a remainder.

1, 5, 19, 25, 73, 95, 365, 475, 1387, 1825, 6935

Step-4: Factors of 34694

List of positive integer factors of 34694 that divides 34675 without a remainder.

1, 2, 11, 19, 22, 38, 83, 166, 209, 418, 913, 1577, 1826, 3154, 17347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34675 and 34694. The biggest common factor number is the GCF number.
So the greatest common factor 34675 and 34694 is 19.

Also check out the Least Common Multiple of 34675 and 34694