What is the Greatest Common Factor of 46544 and 46552?

Greatest common factor (GCF) of 46544 and 46552 is 8.

GCF(46544,46552) = 8

We will now calculate the prime factors of 46544 and 46552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46544 and 46552.

How to find the GCF of 46544 and 46552?

We will first find the prime factorization of 46544 and 46552. After we will calculate the factors of 46544 and 46552 and find the biggest common factor number .

Step-1: Prime Factorization of 46544

Prime factors of 46544 are 2, 2909. Prime factorization of 46544 in exponential form is:

46544 = 2⁴ × 2909¹

Step-2: Prime Factorization of 46552

Prime factors of 46552 are 2, 11, 23. Prime factorization of 46552 in exponential form is:

46552 = 2³ × 11¹ × 23²

Step-3: Factors of 46544

List of positive integer factors of 46544 that divides 46544 without a remainder.

1, 2, 4, 8, 16, 2909, 5818, 11636, 23272

Step-4: Factors of 46552

List of positive integer factors of 46552 that divides 46544 without a remainder.

1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 529, 1012, 1058, 2024, 2116, 4232, 5819, 11638, 23276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46544 and 46552. The biggest common factor number is the GCF number.
So the greatest common factor 46544 and 46552 is 8.

Also check out the Least Common Multiple of 46544 and 46552