What is the Greatest Common Factor of 46644 and 46652?

Greatest common factor (GCF) of 46644 and 46652 is 4.

GCF(46644,46652) = 4

We will now calculate the prime factors of 46644 and 46652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46644 and 46652.

How to find the GCF of 46644 and 46652?

We will first find the prime factorization of 46644 and 46652. After we will calculate the factors of 46644 and 46652 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46652

Prime factors of 46652 are 2, 107, 109. Prime factorization of 46652 in exponential form is:

46652 = 2² × 107¹ × 109¹

Step-3: Factors of 46644

List of positive integer factors of 46644 that divides 46644 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

Step-4: Factors of 46652

List of positive integer factors of 46652 that divides 46644 without a remainder.

1, 2, 4, 107, 109, 214, 218, 428, 436, 11663, 23326

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46644 and 46652. The biggest common factor number is the GCF number.
So the greatest common factor 46644 and 46652 is 4.

Also check out the Least Common Multiple of 46644 and 46652