What is the Greatest Common Factor of 8430 and 8450?

Greatest common factor (GCF) of 8430 and 8450 is 10.

GCF(8430,8450) = 10

We will now calculate the prime factors of 8430 and 8450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8430 and 8450.

How to find the GCF of 8430 and 8450?

We will first find the prime factorization of 8430 and 8450. After we will calculate the factors of 8430 and 8450 and find the biggest common factor number .

Step-1: Prime Factorization of 8430

Prime factors of 8430 are 2, 3, 5, 281. Prime factorization of 8430 in exponential form is:

8430 = 2¹ × 3¹ × 5¹ × 281¹

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 8430

List of positive integer factors of 8430 that divides 8430 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 281, 562, 843, 1405, 1686, 2810, 4215

Step-4: Factors of 8450

List of positive integer factors of 8450 that divides 8430 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 8430 and 8450. The biggest common factor number is the GCF number.
So the greatest common factor 8430 and 8450 is 10.

Also check out the Least Common Multiple of 8430 and 8450