What is the Greatest Common Factor of 57666 and 57671?

Greatest common factor (GCF) of 57666 and 57671 is 1.

GCF(57666,57671) = 1

We will now calculate the prime factors of 57666 and 57671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57666 and 57671.

How to find the GCF of 57666 and 57671?

We will first find the prime factorization of 57666 and 57671. After we will calculate the factors of 57666 and 57671 and find the biggest common factor number .

Step-1: Prime Factorization of 57666

Prime factors of 57666 are 2, 3, 7, 1373. Prime factorization of 57666 in exponential form is:

57666 = 2¹ × 3¹ × 7¹ × 1373¹

Step-2: Prime Factorization of 57671

Prime factors of 57671 are 101, 571. Prime factorization of 57671 in exponential form is:

57671 = 101¹ × 571¹

Step-3: Factors of 57666

List of positive integer factors of 57666 that divides 57666 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1373, 2746, 4119, 8238, 9611, 19222, 28833

Step-4: Factors of 57671

List of positive integer factors of 57671 that divides 57666 without a remainder.

1, 101, 571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57666 and 57671. The biggest common factor number is the GCF number.
So the greatest common factor 57666 and 57671 is 1.

Also check out the Least Common Multiple of 57666 and 57671