What is the Greatest Common Factor of 8438 and 8454?

Greatest common factor (GCF) of 8438 and 8454 is 2.

GCF(8438,8454) = 2

We will now calculate the prime factors of 8438 and 8454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8438 and 8454.

How to find the GCF of 8438 and 8454?

We will first find the prime factorization of 8438 and 8454. After we will calculate the factors of 8438 and 8454 and find the biggest common factor number .

Step-1: Prime Factorization of 8438

Prime factors of 8438 are 2, 4219. Prime factorization of 8438 in exponential form is:

8438 = 2¹ × 4219¹

Step-2: Prime Factorization of 8454

Prime factors of 8454 are 2, 3, 1409. Prime factorization of 8454 in exponential form is:

8454 = 2¹ × 3¹ × 1409¹

Step-3: Factors of 8438

List of positive integer factors of 8438 that divides 8438 without a remainder.

1, 2, 4219

Step-4: Factors of 8454

List of positive integer factors of 8454 that divides 8438 without a remainder.

1, 2, 3, 6, 1409, 2818, 4227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8438 and 8454. The biggest common factor number is the GCF number.
So the greatest common factor 8438 and 8454 is 2.

Also check out the Least Common Multiple of 8438 and 8454