What is the Greatest Common Factor of 8390 and 8400?

Greatest common factor (GCF) of 8390 and 8400 is 10.

GCF(8390,8400) = 10

We will now calculate the prime factors of 8390 and 8400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8390 and 8400.

How to find the GCF of 8390 and 8400?

We will first find the prime factorization of 8390 and 8400. After we will calculate the factors of 8390 and 8400 and find the biggest common factor number .

Step-1: Prime Factorization of 8390

Prime factors of 8390 are 2, 5, 839. Prime factorization of 8390 in exponential form is:

8390 = 2¹ × 5¹ × 839¹

Step-2: Prime Factorization of 8400

Prime factors of 8400 are 2, 3, 5, 7. Prime factorization of 8400 in exponential form is:

8400 = 2⁴ × 3¹ × 5² × 7¹

Step-3: Factors of 8390

List of positive integer factors of 8390 that divides 8390 without a remainder.

1, 2, 5, 10, 839, 1678, 4195

Step-4: Factors of 8400

List of positive integer factors of 8400 that divides 8390 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 35, 40, 42, 48, 50, 56, 60, 70, 75, 80, 84, 100, 105, 112, 120, 140, 150, 168, 175, 200, 210, 240, 280, 300, 336, 350, 400, 420, 525, 560, 600, 700, 840, 1050, 1200, 1400, 1680, 2100, 2800, 4200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8390 and 8400. The biggest common factor number is the GCF number.
So the greatest common factor 8390 and 8400 is 10.

Also check out the Least Common Multiple of 8390 and 8400