What is the Greatest Common Factor of 56034 and 56040?

Greatest common factor (GCF) of 56034 and 56040 is 6.

GCF(56034,56040) = 6

We will now calculate the prime factors of 56034 and 56040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56034 and 56040.

How to find the GCF of 56034 and 56040?

We will first find the prime factorization of 56034 and 56040. After we will calculate the factors of 56034 and 56040 and find the biggest common factor number .

Step-1: Prime Factorization of 56034

Prime factors of 56034 are 2, 3, 11, 283. Prime factorization of 56034 in exponential form is:

56034 = 2¹ × 3² × 11¹ × 283¹

Step-2: Prime Factorization of 56040

Prime factors of 56040 are 2, 3, 5, 467. Prime factorization of 56040 in exponential form is:

56040 = 2³ × 3¹ × 5¹ × 467¹

Step-3: Factors of 56034

List of positive integer factors of 56034 that divides 56034 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 283, 566, 849, 1698, 2547, 3113, 5094, 6226, 9339, 18678, 28017

Step-4: Factors of 56040

List of positive integer factors of 56040 that divides 56034 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 467, 934, 1401, 1868, 2335, 2802, 3736, 4670, 5604, 7005, 9340, 11208, 14010, 18680, 28020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56034 and 56040. The biggest common factor number is the GCF number.
So the greatest common factor 56034 and 56040 is 6.

Also check out the Least Common Multiple of 56034 and 56040