What is the Greatest Common Factor of 40472 and 40492?

Greatest common factor (GCF) of 40472 and 40492 is 4.

GCF(40472,40492) = 4

We will now calculate the prime factors of 40472 and 40492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40472 and 40492.

How to find the GCF of 40472 and 40492?

We will first find the prime factorization of 40472 and 40492. After we will calculate the factors of 40472 and 40492 and find the biggest common factor number .

Step-1: Prime Factorization of 40472

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

40472 = 2³ × 5059¹

Step-2: Prime Factorization of 40492

Prime factors of 40492 are 2, 53, 191. Prime factorization of 40492 in exponential form is:

40492 = 2² × 53¹ × 191¹

Step-3: Factors of 40472

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

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

Step-4: Factors of 40492

List of positive integer factors of 40492 that divides 40472 without a remainder.

1, 2, 4, 53, 106, 191, 212, 382, 764, 10123, 20246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40472 and 40492. The biggest common factor number is the GCF number.
So the greatest common factor 40472 and 40492 is 4.

Also check out the Least Common Multiple of 40472 and 40492