What is the Greatest Common Factor of 46448 and 46468?

Greatest common factor (GCF) of 46448 and 46468 is 4.

GCF(46448,46468) = 4

We will now calculate the prime factors of 46448 and 46468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46448 and 46468.

How to find the GCF of 46448 and 46468?

We will first find the prime factorization of 46448 and 46468. After we will calculate the factors of 46448 and 46468 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 46468

Prime factors of 46468 are 2, 11617. Prime factorization of 46468 in exponential form is:

46468 = 2² × 11617¹

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 46468

List of positive integer factors of 46468 that divides 46448 without a remainder.

1, 2, 4, 11617, 23234

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46448 and 46468. The biggest common factor number is the GCF number.
So the greatest common factor 46448 and 46468 is 4.

Also check out the Least Common Multiple of 46448 and 46468