What is the Greatest Common Factor of 57770 and 57774?

Greatest common factor (GCF) of 57770 and 57774 is 2.

GCF(57770,57774) = 2

We will now calculate the prime factors of 57770 and 57774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57770 and 57774.

How to find the GCF of 57770 and 57774?

We will first find the prime factorization of 57770 and 57774. After we will calculate the factors of 57770 and 57774 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 57774

Prime factors of 57774 are 2, 3, 9629. Prime factorization of 57774 in exponential form is:

57774 = 2¹ × 3¹ × 9629¹

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 57774

List of positive integer factors of 57774 that divides 57770 without a remainder.

1, 2, 3, 6, 9629, 19258, 28887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57770 and 57774. The biggest common factor number is the GCF number.
So the greatest common factor 57770 and 57774 is 2.

Also check out the Least Common Multiple of 57770 and 57774