What is the Greatest Common Factor of 46448 and 46460?

Greatest common factor (GCF) of 46448 and 46460 is 4.

GCF(46448,46460) = 4

We will now calculate the prime factors of 46448 and 46460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46448 and 46460.

How to find the GCF of 46448 and 46460?

We will first find the prime factorization of 46448 and 46460. After we will calculate the factors of 46448 and 46460 and find the biggest common factor number .

Step-1: Prime Factorization of 46448

Prime factors of 46448 are 2, 2903. Prime factorization of 46448 in exponential form is:

46448 = 2⁴ × 2903¹

Step-2: Prime Factorization of 46460

Prime factors of 46460 are 2, 5, 23, 101. Prime factorization of 46460 in exponential form is:

46460 = 2² × 5¹ × 23¹ × 101¹

Step-3: Factors of 46448

List of positive integer factors of 46448 that divides 46448 without a remainder.

1, 2, 4, 8, 16, 2903, 5806, 11612, 23224

Step-4: Factors of 46460

List of positive integer factors of 46460 that divides 46448 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 101, 115, 202, 230, 404, 460, 505, 1010, 2020, 2323, 4646, 9292, 11615, 23230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46448 and 46460. The biggest common factor number is the GCF number.
So the greatest common factor 46448 and 46460 is 4.

Also check out the Least Common Multiple of 46448 and 46460