What is the Greatest Common Factor of 57605 and 57610?

Greatest common factor (GCF) of 57605 and 57610 is 5.

GCF(57605,57610) = 5

We will now calculate the prime factors of 57605 and 57610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57605 and 57610.

How to find the GCF of 57605 and 57610?

We will first find the prime factorization of 57605 and 57610. After we will calculate the factors of 57605 and 57610 and find the biggest common factor number .

Step-1: Prime Factorization of 57605

Prime factors of 57605 are 5, 41, 281. Prime factorization of 57605 in exponential form is:

57605 = 5¹ × 41¹ × 281¹

Step-2: Prime Factorization of 57610

Prime factors of 57610 are 2, 5, 7, 823. Prime factorization of 57610 in exponential form is:

57610 = 2¹ × 5¹ × 7¹ × 823¹

Step-3: Factors of 57605

List of positive integer factors of 57605 that divides 57605 without a remainder.

1, 5, 41, 205, 281, 1405, 11521

Step-4: Factors of 57610

List of positive integer factors of 57610 that divides 57605 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 823, 1646, 4115, 5761, 8230, 11522, 28805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57605 and 57610. The biggest common factor number is the GCF number.
So the greatest common factor 57605 and 57610 is 5.

Also check out the Least Common Multiple of 57605 and 57610