What is the Greatest Common Factor of 34041 and 34056?

Greatest common factor (GCF) of 34041 and 34056 is 3.

GCF(34041,34056) = 3

We will now calculate the prime factors of 34041 and 34056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34041 and 34056.

How to find the GCF of 34041 and 34056?

We will first find the prime factorization of 34041 and 34056. After we will calculate the factors of 34041 and 34056 and find the biggest common factor number .

Step-1: Prime Factorization of 34041

Prime factors of 34041 are 3, 7, 1621. Prime factorization of 34041 in exponential form is:

34041 = 3¹ × 7¹ × 1621¹

Step-2: Prime Factorization of 34056

Prime factors of 34056 are 2, 3, 11, 43. Prime factorization of 34056 in exponential form is:

34056 = 2³ × 3² × 11¹ × 43¹

Step-3: Factors of 34041

List of positive integer factors of 34041 that divides 34041 without a remainder.

1, 3, 7, 21, 1621, 4863, 11347

Step-4: Factors of 34056

List of positive integer factors of 34056 that divides 34041 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 43, 44, 66, 72, 86, 88, 99, 129, 132, 172, 198, 258, 264, 344, 387, 396, 473, 516, 774, 792, 946, 1032, 1419, 1548, 1892, 2838, 3096, 3784, 4257, 5676, 8514, 11352, 17028

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34041 and 34056. The biggest common factor number is the GCF number.
So the greatest common factor 34041 and 34056 is 3.

Also check out the Least Common Multiple of 34041 and 34056