What is the Greatest Common Factor of 57645 and 57657?

Greatest common factor (GCF) of 57645 and 57657 is 3.

GCF(57645,57657) = 3

We will now calculate the prime factors of 57645 and 57657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57645 and 57657.

How to find the GCF of 57645 and 57657?

We will first find the prime factorization of 57645 and 57657. After we will calculate the factors of 57645 and 57657 and find the biggest common factor number .

Step-1: Prime Factorization of 57645

Prime factors of 57645 are 3, 5, 7, 61. Prime factorization of 57645 in exponential form is:

57645 = 3³ × 5¹ × 7¹ × 61¹

Step-2: Prime Factorization of 57657

Prime factors of 57657 are 3, 19219. Prime factorization of 57657 in exponential form is:

57657 = 3¹ × 19219¹

Step-3: Factors of 57645

List of positive integer factors of 57645 that divides 57645 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 61, 63, 105, 135, 183, 189, 305, 315, 427, 549, 915, 945, 1281, 1647, 2135, 2745, 3843, 6405, 8235, 11529, 19215

Step-4: Factors of 57657

List of positive integer factors of 57657 that divides 57645 without a remainder.

1, 3, 19219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57645 and 57657. The biggest common factor number is the GCF number.
So the greatest common factor 57645 and 57657 is 3.

Also check out the Least Common Multiple of 57645 and 57657