What is the Greatest Common Factor of 46638 and 46644?

Greatest common factor (GCF) of 46638 and 46644 is 6.

GCF(46638,46644) = 6

We will now calculate the prime factors of 46638 and 46644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46638 and 46644.

How to find the GCF of 46638 and 46644?

We will first find the prime factorization of 46638 and 46644. After we will calculate the factors of 46638 and 46644 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 46644

Prime factors of 46644 are 2, 3, 13, 23. Prime factorization of 46644 in exponential form is:

46644 = 2² × 3¹ × 13² × 23¹

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 46644

List of positive integer factors of 46644 that divides 46638 without a remainder.

1, 2, 3, 4, 6, 12, 13, 23, 26, 39, 46, 52, 69, 78, 92, 138, 156, 169, 276, 299, 338, 507, 598, 676, 897, 1014, 1196, 1794, 2028, 3588, 3887, 7774, 11661, 15548, 23322

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46638 and 46644. The biggest common factor number is the GCF number.
So the greatest common factor 46638 and 46644 is 6.

Also check out the Least Common Multiple of 46638 and 46644