What is the Greatest Common Factor of 46524 and 46544?

Greatest common factor (GCF) of 46524 and 46544 is 4.

GCF(46524,46544) = 4

We will now calculate the prime factors of 46524 and 46544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46524 and 46544.

How to find the GCF of 46524 and 46544?

We will first find the prime factorization of 46524 and 46544. After we will calculate the factors of 46524 and 46544 and find the biggest common factor number .

Step-1: Prime Factorization of 46524

Prime factors of 46524 are 2, 3, 3877. Prime factorization of 46524 in exponential form is:

46524 = 2² × 3¹ × 3877¹

Step-2: Prime Factorization of 46544

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

46544 = 2⁴ × 2909¹

Step-3: Factors of 46524

List of positive integer factors of 46524 that divides 46524 without a remainder.

1, 2, 3, 4, 6, 12, 3877, 7754, 11631, 15508, 23262

Step-4: Factors of 46544

List of positive integer factors of 46544 that divides 46524 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46524 and 46544. The biggest common factor number is the GCF number.
So the greatest common factor 46524 and 46544 is 4.

Also check out the Least Common Multiple of 46524 and 46544