What is the Greatest Common Factor of 34356 and 34360?

Greatest common factor (GCF) of 34356 and 34360 is 4.

GCF(34356,34360) = 4

We will now calculate the prime factors of 34356 and 34360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34356 and 34360.

How to find the GCF of 34356 and 34360?

We will first find the prime factorization of 34356 and 34360. After we will calculate the factors of 34356 and 34360 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 34360

Prime factors of 34360 are 2, 5, 859. Prime factorization of 34360 in exponential form is:

34360 = 2³ × 5¹ × 859¹

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 34360

List of positive integer factors of 34360 that divides 34356 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 859, 1718, 3436, 4295, 6872, 8590, 17180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34356 and 34360. The biggest common factor number is the GCF number.
So the greatest common factor 34356 and 34360 is 4.

Also check out the Least Common Multiple of 34356 and 34360