What is the Greatest Common Factor of 46526 and 46544?

Greatest common factor (GCF) of 46526 and 46544 is 2.

GCF(46526,46544) = 2

We will now calculate the prime factors of 46526 and 46544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46526 and 46544.

How to find the GCF of 46526 and 46544?

We will first find the prime factorization of 46526 and 46544. After we will calculate the factors of 46526 and 46544 and find the biggest common factor number .

Step-1: Prime Factorization of 46526

Prime factors of 46526 are 2, 43, 541. Prime factorization of 46526 in exponential form is:

46526 = 2¹ × 43¹ × 541¹

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 46526

List of positive integer factors of 46526 that divides 46526 without a remainder.

1, 2, 43, 86, 541, 1082, 23263

Step-4: Factors of 46544

List of positive integer factors of 46544 that divides 46526 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 46526 and 46544. The biggest common factor number is the GCF number.
So the greatest common factor 46526 and 46544 is 2.

Also check out the Least Common Multiple of 46526 and 46544