What is the Greatest Common Factor of 46638 and 46647?

Greatest common factor (GCF) of 46638 and 46647 is 9.

GCF(46638,46647) = 9

We will now calculate the prime factors of 46638 and 46647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46638 and 46647.

How to find the GCF of 46638 and 46647?

We will first find the prime factorization of 46638 and 46647. After we will calculate the factors of 46638 and 46647 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46647

Prime factors of 46647 are 3, 71, 73. Prime factorization of 46647 in exponential form is:

46647 = 3² × 71¹ × 73¹

Step-3: Factors of 46638

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

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

Step-4: Factors of 46647

List of positive integer factors of 46647 that divides 46638 without a remainder.

1, 3, 9, 71, 73, 213, 219, 639, 657, 5183, 15549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46638 and 46647. The biggest common factor number is the GCF number.
So the greatest common factor 46638 and 46647 is 9.

Also check out the Least Common Multiple of 46638 and 46647