What is the Greatest Common Factor of 34901 and 34918?

Greatest common factor (GCF) of 34901 and 34918 is 17.

GCF(34901,34918) = 17

We will now calculate the prime factors of 34901 and 34918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34901 and 34918.

How to find the GCF of 34901 and 34918?

We will first find the prime factorization of 34901 and 34918. After we will calculate the factors of 34901 and 34918 and find the biggest common factor number .

Step-1: Prime Factorization of 34901

Prime factors of 34901 are 17, 2053. Prime factorization of 34901 in exponential form is:

34901 = 17¹ × 2053¹

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 34901

List of positive integer factors of 34901 that divides 34901 without a remainder.

1, 17, 2053

Step-4: Factors of 34918

List of positive integer factors of 34918 that divides 34901 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 34901 and 34918. The biggest common factor number is the GCF number.
So the greatest common factor 34901 and 34918 is 17.

Also check out the Least Common Multiple of 34901 and 34918