What is the Greatest Common Factor of 46626 and 46638?

Greatest common factor (GCF) of 46626 and 46638 is 6.

GCF(46626,46638) = 6

We will now calculate the prime factors of 46626 and 46638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46626 and 46638.

How to find the GCF of 46626 and 46638?

We will first find the prime factorization of 46626 and 46638. After we will calculate the factors of 46626 and 46638 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 46638

Prime factors of 46638 are 2, 3, 2591. Prime factorization of 46638 in exponential form is:

46638 = 2¹ × 3² × 2591¹

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 46638

List of positive integer factors of 46638 that divides 46626 without a remainder.

1, 2, 3, 6, 9, 18, 2591, 5182, 7773, 15546, 23319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46626 and 46638. The biggest common factor number is the GCF number.
So the greatest common factor 46626 and 46638 is 6.

Also check out the Least Common Multiple of 46626 and 46638