What is the Greatest Common Factor of 56574 and 56586?

Greatest common factor (GCF) of 56574 and 56586 is 6.

GCF(56574,56586) = 6

We will now calculate the prime factors of 56574 and 56586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56574 and 56586.

How to find the GCF of 56574 and 56586?

We will first find the prime factorization of 56574 and 56586. After we will calculate the factors of 56574 and 56586 and find the biggest common factor number .

Step-1: Prime Factorization of 56574

Prime factors of 56574 are 2, 3, 7, 449. Prime factorization of 56574 in exponential form is:

56574 = 2¹ × 3² × 7¹ × 449¹

Step-2: Prime Factorization of 56586

Prime factors of 56586 are 2, 3, 9431. Prime factorization of 56586 in exponential form is:

56586 = 2¹ × 3¹ × 9431¹

Step-3: Factors of 56574

List of positive integer factors of 56574 that divides 56574 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 449, 898, 1347, 2694, 3143, 4041, 6286, 8082, 9429, 18858, 28287

Step-4: Factors of 56586

List of positive integer factors of 56586 that divides 56574 without a remainder.

1, 2, 3, 6, 9431, 18862, 28293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56574 and 56586. The biggest common factor number is the GCF number.
So the greatest common factor 56574 and 56586 is 6.

Also check out the Least Common Multiple of 56574 and 56586