What is the Greatest Common Factor of 46638 and 46658?

Greatest common factor (GCF) of 46638 and 46658 is 2.

GCF(46638,46658) = 2

We will now calculate the prime factors of 46638 and 46658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46638 and 46658.

How to find the GCF of 46638 and 46658?

We will first find the prime factorization of 46638 and 46658. After we will calculate the factors of 46638 and 46658 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 46658

Prime factors of 46658 are 2, 41, 569. Prime factorization of 46658 in exponential form is:

46658 = 2¹ × 41¹ × 569¹

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 46658

List of positive integer factors of 46658 that divides 46638 without a remainder.

1, 2, 41, 82, 569, 1138, 23329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46638 and 46658. The biggest common factor number is the GCF number.
So the greatest common factor 46638 and 46658 is 2.

Also check out the Least Common Multiple of 46638 and 46658