What is the Greatest Common Factor of 8438 and 8450?

Greatest common factor (GCF) of 8438 and 8450 is 2.

GCF(8438,8450) = 2

We will now calculate the prime factors of 8438 and 8450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8438 and 8450.

How to find the GCF of 8438 and 8450?

We will first find the prime factorization of 8438 and 8450. After we will calculate the factors of 8438 and 8450 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 8450

Prime factors of 8450 are 2, 5, 13. Prime factorization of 8450 in exponential form is:

8450 = 2¹ × 5² × 13²

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 8450

List of positive integer factors of 8450 that divides 8438 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 169, 325, 338, 650, 845, 1690, 4225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8438 and 8450. The biggest common factor number is the GCF number.
So the greatest common factor 8438 and 8450 is 2.

Also check out the Least Common Multiple of 8438 and 8450