What is the Greatest Common Factor of 34038 and 34056?

Greatest common factor (GCF) of 34038 and 34056 is 18.

GCF(34038,34056) = 18

We will now calculate the prime factors of 34038 and 34056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34038 and 34056.

How to find the GCF of 34038 and 34056?

We will first find the prime factorization of 34038 and 34056. After we will calculate the factors of 34038 and 34056 and find the biggest common factor number .

Step-1: Prime Factorization of 34038

Prime factors of 34038 are 2, 3, 31, 61. Prime factorization of 34038 in exponential form is:

34038 = 2¹ × 3² × 31¹ × 61¹

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 34038

List of positive integer factors of 34038 that divides 34038 without a remainder.

1, 2, 3, 6, 9, 18, 31, 61, 62, 93, 122, 183, 186, 279, 366, 549, 558, 1098, 1891, 3782, 5673, 11346, 17019

Step-4: Factors of 34056

List of positive integer factors of 34056 that divides 34038 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 34038 and 34056. The biggest common factor number is the GCF number.
So the greatest common factor 34038 and 34056 is 18.

Also check out the Least Common Multiple of 34038 and 34056