What is the Greatest Common Factor of 46456 and 46468?

Greatest common factor (GCF) of 46456 and 46468 is 4.

GCF(46456,46468) = 4

We will now calculate the prime factors of 46456 and 46468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46456 and 46468.

How to find the GCF of 46456 and 46468?

We will first find the prime factorization of 46456 and 46468. After we will calculate the factors of 46456 and 46468 and find the biggest common factor number .

Step-1: Prime Factorization of 46456

Prime factors of 46456 are 2, 5807. Prime factorization of 46456 in exponential form is:

46456 = 2³ × 5807¹

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 46456

List of positive integer factors of 46456 that divides 46456 without a remainder.

1, 2, 4, 8, 5807, 11614, 23228

Step-4: Factors of 46468

List of positive integer factors of 46468 that divides 46456 without a remainder.

1, 2, 4, 11617, 23234

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46456 and 46468. The biggest common factor number is the GCF number.
So the greatest common factor 46456 and 46468 is 4.

Also check out the Least Common Multiple of 46456 and 46468