What is the Greatest Common Factor of 56606 and 56624?

Greatest common factor (GCF) of 56606 and 56624 is 2.

GCF(56606,56624) = 2

We will now calculate the prime factors of 56606 and 56624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56606 and 56624.

How to find the GCF of 56606 and 56624?

We will first find the prime factorization of 56606 and 56624. After we will calculate the factors of 56606 and 56624 and find the biggest common factor number .

Step-1: Prime Factorization of 56606

Prime factors of 56606 are 2, 11, 31, 83. Prime factorization of 56606 in exponential form is:

56606 = 2¹ × 11¹ × 31¹ × 83¹

Step-2: Prime Factorization of 56624

Prime factors of 56624 are 2, 3539. Prime factorization of 56624 in exponential form is:

56624 = 2⁴ × 3539¹

Step-3: Factors of 56606

List of positive integer factors of 56606 that divides 56606 without a remainder.

1, 2, 11, 22, 31, 62, 83, 166, 341, 682, 913, 1826, 2573, 5146, 28303

Step-4: Factors of 56624

List of positive integer factors of 56624 that divides 56606 without a remainder.

1, 2, 4, 8, 16, 3539, 7078, 14156, 28312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56606 and 56624. The biggest common factor number is the GCF number.
So the greatest common factor 56606 and 56624 is 2.

Also check out the Least Common Multiple of 56606 and 56624