What is the Greatest Common Factor of 46626 and 46631?

Greatest common factor (GCF) of 46626 and 46631 is 1.

GCF(46626,46631) = 1

We will now calculate the prime factors of 46626 and 46631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46626 and 46631.

How to find the GCF of 46626 and 46631?

We will first find the prime factorization of 46626 and 46631. After we will calculate the factors of 46626 and 46631 and find the biggest common factor number .

Step-1: Prime Factorization of 46626

Prime factors of 46626 are 2, 3, 19, 409. Prime factorization of 46626 in exponential form is:

46626 = 2¹ × 3¹ × 19¹ × 409¹

Step-2: Prime Factorization of 46631

Prime factors of 46631 are 13, 17, 211. Prime factorization of 46631 in exponential form is:

46631 = 13¹ × 17¹ × 211¹

Step-3: Factors of 46626

List of positive integer factors of 46626 that divides 46626 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 409, 818, 1227, 2454, 7771, 15542, 23313

Step-4: Factors of 46631

List of positive integer factors of 46631 that divides 46626 without a remainder.

1, 13, 17, 211, 221, 2743, 3587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46626 and 46631. The biggest common factor number is the GCF number.
So the greatest common factor 46626 and 46631 is 1.

Also check out the Least Common Multiple of 46626 and 46631