What is the Greatest Common Factor of 34909 and 34918?

Greatest common factor (GCF) of 34909 and 34918 is 1.

GCF(34909,34918) = 1

We will now calculate the prime factors of 34909 and 34918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34909 and 34918.

How to find the GCF of 34909 and 34918?

We will first find the prime factorization of 34909 and 34918. After we will calculate the factors of 34909 and 34918 and find the biggest common factor number .

Step-1: Prime Factorization of 34909

Prime factors of 34909 are 7, 4987. Prime factorization of 34909 in exponential form is:

34909 = 7¹ × 4987¹

Step-2: Prime Factorization of 34918

Prime factors of 34918 are 2, 13, 17, 79. Prime factorization of 34918 in exponential form is:

34918 = 2¹ × 13¹ × 17¹ × 79¹

Step-3: Factors of 34909

List of positive integer factors of 34909 that divides 34909 without a remainder.

1, 7, 4987

Step-4: Factors of 34918

List of positive integer factors of 34918 that divides 34909 without a remainder.

1, 2, 13, 17, 26, 34, 79, 158, 221, 442, 1027, 1343, 2054, 2686, 17459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34909 and 34918. The biggest common factor number is the GCF number.
So the greatest common factor 34909 and 34918 is 1.

Also check out the Least Common Multiple of 34909 and 34918