What is the Greatest Common Factor of 57762 and 57770?

Greatest common factor (GCF) of 57762 and 57770 is 2.

GCF(57762,57770) = 2

We will now calculate the prime factors of 57762 and 57770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57762 and 57770.

How to find the GCF of 57762 and 57770?

We will first find the prime factorization of 57762 and 57770. After we will calculate the factors of 57762 and 57770 and find the biggest common factor number .

Step-1: Prime Factorization of 57762

Prime factors of 57762 are 2, 3, 3209. Prime factorization of 57762 in exponential form is:

57762 = 2¹ × 3² × 3209¹

Step-2: 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-3: Factors of 57762

List of positive integer factors of 57762 that divides 57762 without a remainder.

1, 2, 3, 6, 9, 18, 3209, 6418, 9627, 19254, 28881

Step-4: Factors of 57770

List of positive integer factors of 57770 that divides 57762 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57762 and 57770. The biggest common factor number is the GCF number.
So the greatest common factor 57762 and 57770 is 2.

Also check out the Least Common Multiple of 57762 and 57770