What is the Greatest Common Factor of 56020 and 56034?

Greatest common factor (GCF) of 56020 and 56034 is 2.

GCF(56020,56034) = 2

We will now calculate the prime factors of 56020 and 56034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56020 and 56034.

How to find the GCF of 56020 and 56034?

We will first find the prime factorization of 56020 and 56034. After we will calculate the factors of 56020 and 56034 and find the biggest common factor number .

Step-1: Prime Factorization of 56020

Prime factors of 56020 are 2, 5, 2801. Prime factorization of 56020 in exponential form is:

56020 = 2² × 5¹ × 2801¹

Step-2: 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-3: Factors of 56020

List of positive integer factors of 56020 that divides 56020 without a remainder.

1, 2, 4, 5, 10, 20, 2801, 5602, 11204, 14005, 28010

Step-4: Factors of 56034

List of positive integer factors of 56034 that divides 56020 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56020 and 56034. The biggest common factor number is the GCF number.
So the greatest common factor 56020 and 56034 is 2.

Also check out the Least Common Multiple of 56020 and 56034