What is the Greatest Common Factor of 34056 and 34074?

Greatest common factor (GCF) of 34056 and 34074 is 18.

GCF(34056,34074) = 18

We will now calculate the prime factors of 34056 and 34074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34056 and 34074.

How to find the GCF of 34056 and 34074?

We will first find the prime factorization of 34056 and 34074. After we will calculate the factors of 34056 and 34074 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34074

Prime factors of 34074 are 2, 3, 631. Prime factorization of 34074 in exponential form is:

34074 = 2¹ × 3³ × 631¹

Step-3: Factors of 34056

List of positive integer factors of 34056 that divides 34056 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

Step-4: Factors of 34074

List of positive integer factors of 34074 that divides 34056 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 631, 1262, 1893, 3786, 5679, 11358, 17037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34056 and 34074. The biggest common factor number is the GCF number.
So the greatest common factor 34056 and 34074 is 18.

Also check out the Least Common Multiple of 34056 and 34074