What is the Greatest Common Factor of 46566 and 46571?

Greatest common factor (GCF) of 46566 and 46571 is 1.

GCF(46566,46571) = 1

We will now calculate the prime factors of 46566 and 46571, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46566 and 46571.

How to find the GCF of 46566 and 46571?

We will first find the prime factorization of 46566 and 46571. After we will calculate the factors of 46566 and 46571 and find the biggest common factor number .

Step-1: Prime Factorization of 46566

Prime factors of 46566 are 2, 3, 13, 199. Prime factorization of 46566 in exponential form is:

46566 = 2¹ × 3² × 13¹ × 199¹

Step-2: Prime Factorization of 46571

Prime factors of 46571 are 7, 6653. Prime factorization of 46571 in exponential form is:

46571 = 7¹ × 6653¹

Step-3: Factors of 46566

List of positive integer factors of 46566 that divides 46566 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 199, 234, 398, 597, 1194, 1791, 2587, 3582, 5174, 7761, 15522, 23283

Step-4: Factors of 46571

List of positive integer factors of 46571 that divides 46566 without a remainder.

1, 7, 6653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46566 and 46571. The biggest common factor number is the GCF number.
So the greatest common factor 46566 and 46571 is 1.

Also check out the Least Common Multiple of 46566 and 46571