What is the Greatest Common Factor of 57020 and 57035?

Greatest common factor (GCF) of 57020 and 57035 is 5.

GCF(57020,57035) = 5

We will now calculate the prime factors of 57020 and 57035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57020 and 57035.

How to find the GCF of 57020 and 57035?

We will first find the prime factorization of 57020 and 57035. After we will calculate the factors of 57020 and 57035 and find the biggest common factor number .

Step-1: Prime Factorization of 57020

Prime factors of 57020 are 2, 5, 2851. Prime factorization of 57020 in exponential form is:

57020 = 2² × 5¹ × 2851¹

Step-2: Prime Factorization of 57035

Prime factors of 57035 are 5, 11, 17, 61. Prime factorization of 57035 in exponential form is:

57035 = 5¹ × 11¹ × 17¹ × 61¹

Step-3: Factors of 57020

List of positive integer factors of 57020 that divides 57020 without a remainder.

1, 2, 4, 5, 10, 20, 2851, 5702, 11404, 14255, 28510

Step-4: Factors of 57035

List of positive integer factors of 57035 that divides 57020 without a remainder.

1, 5, 11, 17, 55, 61, 85, 187, 305, 671, 935, 1037, 3355, 5185, 11407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57020 and 57035. The biggest common factor number is the GCF number.
So the greatest common factor 57020 and 57035 is 5.

Also check out the Least Common Multiple of 57020 and 57035