What is the Greatest Common Factor of 4472 and 4492?

Greatest common factor (GCF) of 4472 and 4492 is 4.

GCF(4472,4492) = 4

We will now calculate the prime factors of 4472 and 4492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4472 and 4492.

How to find the GCF of 4472 and 4492?

We will first find the prime factorization of 4472 and 4492. After we will calculate the factors of 4472 and 4492 and find the biggest common factor number .

Step-1: Prime Factorization of 4472

Prime factors of 4472 are 2, 13, 43. Prime factorization of 4472 in exponential form is:

4472 = 2³ × 13¹ × 43¹

Step-2: Prime Factorization of 4492

Prime factors of 4492 are 2, 1123. Prime factorization of 4492 in exponential form is:

4492 = 2² × 1123¹

Step-3: Factors of 4472

List of positive integer factors of 4472 that divides 4472 without a remainder.

1, 2, 4, 8, 13, 26, 43, 52, 86, 104, 172, 344, 559, 1118, 2236

Step-4: Factors of 4492

List of positive integer factors of 4492 that divides 4472 without a remainder.

1, 2, 4, 1123, 2246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4472 and 4492. The biggest common factor number is the GCF number.
So the greatest common factor 4472 and 4492 is 4.

Also check out the Least Common Multiple of 4472 and 4492