What is the Greatest Common Factor of 34356 and 34363?

Greatest common factor (GCF) of 34356 and 34363 is 7.

GCF(34356,34363) = 7

We will now calculate the prime factors of 34356 and 34363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34356 and 34363.

How to find the GCF of 34356 and 34363?

We will first find the prime factorization of 34356 and 34363. After we will calculate the factors of 34356 and 34363 and find the biggest common factor number .

Step-1: Prime Factorization of 34356

Prime factors of 34356 are 2, 3, 7, 409. Prime factorization of 34356 in exponential form is:

34356 = 2² × 3¹ × 7¹ × 409¹

Step-2: Prime Factorization of 34363

Prime factors of 34363 are 7, 4909. Prime factorization of 34363 in exponential form is:

34363 = 7¹ × 4909¹

Step-3: Factors of 34356

List of positive integer factors of 34356 that divides 34356 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 409, 818, 1227, 1636, 2454, 2863, 4908, 5726, 8589, 11452, 17178

Step-4: Factors of 34363

List of positive integer factors of 34363 that divides 34356 without a remainder.

1, 7, 4909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34356 and 34363. The biggest common factor number is the GCF number.
So the greatest common factor 34356 and 34363 is 7.

Also check out the Least Common Multiple of 34356 and 34363