What is the Greatest Common Factor of 4454 and 4463?

Greatest common factor (GCF) of 4454 and 4463 is 1.

GCF(4454,4463) = 1

We will now calculate the prime factors of 4454 and 4463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4454 and 4463.

How to find the GCF of 4454 and 4463?

We will first find the prime factorization of 4454 and 4463. After we will calculate the factors of 4454 and 4463 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 4463

Prime factors of 4463 are 4463. Prime factorization of 4463 in exponential form is:

4463 = 4463¹

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 4463

List of positive integer factors of 4463 that divides 4454 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4454 and 4463. The biggest common factor number is the GCF number.
So the greatest common factor 4454 and 4463 is 1.

Also check out the Least Common Multiple of 4454 and 4463