What is the Greatest Common Factor of 46638 and 46646?

Greatest common factor (GCF) of 46638 and 46646 is 2.

GCF(46638,46646) = 2

We will now calculate the prime factors of 46638 and 46646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46638 and 46646.

How to find the GCF of 46638 and 46646?

We will first find the prime factorization of 46638 and 46646. After we will calculate the factors of 46638 and 46646 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 46646

Prime factors of 46646 are 2, 83, 281. Prime factorization of 46646 in exponential form is:

46646 = 2¹ × 83¹ × 281¹

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 46646

List of positive integer factors of 46646 that divides 46638 without a remainder.

1, 2, 83, 166, 281, 562, 23323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46638 and 46646. The biggest common factor number is the GCF number.
So the greatest common factor 46638 and 46646 is 2.

Also check out the Least Common Multiple of 46638 and 46646