What is the Greatest Common Factor of 56584 and 56602?

Greatest common factor (GCF) of 56584 and 56602 is 2.

GCF(56584,56602) = 2

We will now calculate the prime factors of 56584 and 56602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56584 and 56602.

How to find the GCF of 56584 and 56602?

We will first find the prime factorization of 56584 and 56602. After we will calculate the factors of 56584 and 56602 and find the biggest common factor number .

Step-1: Prime Factorization of 56584

Prime factors of 56584 are 2, 11, 643. Prime factorization of 56584 in exponential form is:

56584 = 2³ × 11¹ × 643¹

Step-2: Prime Factorization of 56602

Prime factors of 56602 are 2, 7, 13, 311. Prime factorization of 56602 in exponential form is:

56602 = 2¹ × 7¹ × 13¹ × 311¹

Step-3: Factors of 56584

List of positive integer factors of 56584 that divides 56584 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 643, 1286, 2572, 5144, 7073, 14146, 28292

Step-4: Factors of 56602

List of positive integer factors of 56602 that divides 56584 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 311, 622, 2177, 4043, 4354, 8086, 28301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56584 and 56602. The biggest common factor number is the GCF number.
So the greatest common factor 56584 and 56602 is 2.

Also check out the Least Common Multiple of 56584 and 56602