What is the Greatest Common Factor of 46628 and 46644?

Greatest common factor (GCF) of 46628 and 46644 is 4.

GCF(46628,46644) = 4

We will now calculate the prime factors of 46628 and 46644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46628 and 46644.

How to find the GCF of 46628 and 46644?

We will first find the prime factorization of 46628 and 46644. After we will calculate the factors of 46628 and 46644 and find the biggest common factor number .

Step-1: Prime Factorization of 46628

Prime factors of 46628 are 2, 11657. Prime factorization of 46628 in exponential form is:

46628 = 2² × 11657¹

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 46628

List of positive integer factors of 46628 that divides 46628 without a remainder.

1, 2, 4, 11657, 23314

Step-4: Factors of 46644

List of positive integer factors of 46644 that divides 46628 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 46628 and 46644. The biggest common factor number is the GCF number.
So the greatest common factor 46628 and 46644 is 4.

Also check out the Least Common Multiple of 46628 and 46644