What is the Greatest Common Factor of 57605 and 57620?

Greatest common factor (GCF) of 57605 and 57620 is 5.

GCF(57605,57620) = 5

We will now calculate the prime factors of 57605 and 57620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57605 and 57620.

How to find the GCF of 57605 and 57620?

We will first find the prime factorization of 57605 and 57620. After we will calculate the factors of 57605 and 57620 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 57620

Prime factors of 57620 are 2, 5, 43, 67. Prime factorization of 57620 in exponential form is:

57620 = 2² × 5¹ × 43¹ × 67¹

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 57620

List of positive integer factors of 57620 that divides 57605 without a remainder.

1, 2, 4, 5, 10, 20, 43, 67, 86, 134, 172, 215, 268, 335, 430, 670, 860, 1340, 2881, 5762, 11524, 14405, 28810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57605 and 57620. The biggest common factor number is the GCF number.
So the greatest common factor 57605 and 57620 is 5.

Also check out the Least Common Multiple of 57605 and 57620