What is the Greatest Common Factor of 4454 and 4472?

Greatest common factor (GCF) of 4454 and 4472 is 2.

GCF(4454,4472) = 2

We will now calculate the prime factors of 4454 and 4472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4454 and 4472.

How to find the GCF of 4454 and 4472?

We will first find the prime factorization of 4454 and 4472. After we will calculate the factors of 4454 and 4472 and find the biggest common factor number .

Step-1: Prime Factorization of 4454

Prime factors of 4454 are 2, 17, 131. Prime factorization of 4454 in exponential form is:

4454 = 2¹ × 17¹ × 131¹

Step-2: 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-3: Factors of 4454

List of positive integer factors of 4454 that divides 4454 without a remainder.

1, 2, 17, 34, 131, 262, 2227

Step-4: Factors of 4472

List of positive integer factors of 4472 that divides 4454 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4454 and 4472. The biggest common factor number is the GCF number.
So the greatest common factor 4454 and 4472 is 2.

Also check out the Least Common Multiple of 4454 and 4472