What is the Greatest Common Factor of 40454 and 40472?

Greatest common factor (GCF) of 40454 and 40472 is 2.

GCF(40454,40472) = 2

We will now calculate the prime factors of 40454 and 40472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40454 and 40472.

How to find the GCF of 40454 and 40472?

We will first find the prime factorization of 40454 and 40472. After we will calculate the factors of 40454 and 40472 and find the biggest common factor number .

Step-1: Prime Factorization of 40454

Prime factors of 40454 are 2, 113, 179. Prime factorization of 40454 in exponential form is:

40454 = 2¹ × 113¹ × 179¹

Step-2: Prime Factorization of 40472

Prime factors of 40472 are 2, 5059. Prime factorization of 40472 in exponential form is:

40472 = 2³ × 5059¹

Step-3: Factors of 40454

List of positive integer factors of 40454 that divides 40454 without a remainder.

1, 2, 113, 179, 226, 358, 20227

Step-4: Factors of 40472

List of positive integer factors of 40472 that divides 40454 without a remainder.

1, 2, 4, 8, 5059, 10118, 20236

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40454 and 40472. The biggest common factor number is the GCF number.
So the greatest common factor 40454 and 40472 is 2.

Also check out the Least Common Multiple of 40454 and 40472