What is the Greatest Common Factor of 56605 and 56620?

Greatest common factor (GCF) of 56605 and 56620 is 5.

GCF(56605,56620) = 5

We will now calculate the prime factors of 56605 and 56620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56605 and 56620.

How to find the GCF of 56605 and 56620?

We will first find the prime factorization of 56605 and 56620. After we will calculate the factors of 56605 and 56620 and find the biggest common factor number .

Step-1: Prime Factorization of 56605

Prime factors of 56605 are 5, 11321. Prime factorization of 56605 in exponential form is:

56605 = 5¹ × 11321¹

Step-2: Prime Factorization of 56620

Prime factors of 56620 are 2, 5, 19, 149. Prime factorization of 56620 in exponential form is:

56620 = 2² × 5¹ × 19¹ × 149¹

Step-3: Factors of 56605

List of positive integer factors of 56605 that divides 56605 without a remainder.

1, 5, 11321

Step-4: Factors of 56620

List of positive integer factors of 56620 that divides 56605 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 149, 190, 298, 380, 596, 745, 1490, 2831, 2980, 5662, 11324, 14155, 28310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56605 and 56620. The biggest common factor number is the GCF number.
So the greatest common factor 56605 and 56620 is 5.

Also check out the Least Common Multiple of 56605 and 56620