What is the Greatest Common Factor of 57770 and 57790?

Greatest common factor (GCF) of 57770 and 57790 is 10.

GCF(57770,57790) = 10

We will now calculate the prime factors of 57770 and 57790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57770 and 57790.

How to find the GCF of 57770 and 57790?

We will first find the prime factorization of 57770 and 57790. After we will calculate the factors of 57770 and 57790 and find the biggest common factor number .

Step-1: Prime Factorization of 57770

Prime factors of 57770 are 2, 5, 53, 109. Prime factorization of 57770 in exponential form is:

57770 = 2¹ × 5¹ × 53¹ × 109¹

Step-2: Prime Factorization of 57790

Prime factors of 57790 are 2, 5, 5779. Prime factorization of 57790 in exponential form is:

57790 = 2¹ × 5¹ × 5779¹

Step-3: Factors of 57770

List of positive integer factors of 57770 that divides 57770 without a remainder.

1, 2, 5, 10, 53, 106, 109, 218, 265, 530, 545, 1090, 5777, 11554, 28885

Step-4: Factors of 57790

List of positive integer factors of 57790 that divides 57770 without a remainder.

1, 2, 5, 10, 5779, 11558, 28895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57770 and 57790. The biggest common factor number is the GCF number.
So the greatest common factor 57770 and 57790 is 10.

Also check out the Least Common Multiple of 57770 and 57790