What is the Greatest Common Factor of 34926 and 34935?

Greatest common factor (GCF) of 34926 and 34935 is 3.

GCF(34926,34935) = 3

We will now calculate the prime factors of 34926 and 34935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34926 and 34935.

How to find the GCF of 34926 and 34935?

We will first find the prime factorization of 34926 and 34935. After we will calculate the factors of 34926 and 34935 and find the biggest common factor number .

Step-1: Prime Factorization of 34926

Prime factors of 34926 are 2, 3, 5821. Prime factorization of 34926 in exponential form is:

34926 = 2¹ × 3¹ × 5821¹

Step-2: 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-3: Factors of 34926

List of positive integer factors of 34926 that divides 34926 without a remainder.

1, 2, 3, 6, 5821, 11642, 17463

Step-4: Factors of 34935

List of positive integer factors of 34935 that divides 34926 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34926 and 34935. The biggest common factor number is the GCF number.
So the greatest common factor 34926 and 34935 is 3.

Also check out the Least Common Multiple of 34926 and 34935