What is the Greatest Common Factor of 34935 and 34947?

Greatest common factor (GCF) of 34935 and 34947 is 3.

GCF(34935,34947) = 3

We will now calculate the prime factors of 34935 and 34947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34935 and 34947.

How to find the GCF of 34935 and 34947?

We will first find the prime factorization of 34935 and 34947. After we will calculate the factors of 34935 and 34947 and find the biggest common factor number .

Step-1: Prime Factorization of 34935

Prime factors of 34935 are 3, 5, 17, 137. Prime factorization of 34935 in exponential form is:

34935 = 3¹ × 5¹ × 17¹ × 137¹

Step-2: Prime Factorization of 34947

Prime factors of 34947 are 3, 11, 353. Prime factorization of 34947 in exponential form is:

34947 = 3² × 11¹ × 353¹

Step-3: Factors of 34935

List of positive integer factors of 34935 that divides 34935 without a remainder.

1, 3, 5, 15, 17, 51, 85, 137, 255, 411, 685, 2055, 2329, 6987, 11645

Step-4: Factors of 34947

List of positive integer factors of 34947 that divides 34935 without a remainder.

1, 3, 9, 11, 33, 99, 353, 1059, 3177, 3883, 11649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34935 and 34947. The biggest common factor number is the GCF number.
So the greatest common factor 34935 and 34947 is 3.

Also check out the Least Common Multiple of 34935 and 34947