What is the Greatest Common Factor of 14380 and 14390?

Greatest common factor (GCF) of 14380 and 14390 is 10.

GCF(14380,14390) = 10

We will now calculate the prime factors of 14380 and 14390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14380 and 14390.

How to find the GCF of 14380 and 14390?

We will first find the prime factorization of 14380 and 14390. After we will calculate the factors of 14380 and 14390 and find the biggest common factor number .

Step-1: Prime Factorization of 14380

Prime factors of 14380 are 2, 5, 719. Prime factorization of 14380 in exponential form is:

14380 = 2² × 5¹ × 719¹

Step-2: Prime Factorization of 14390

Prime factors of 14390 are 2, 5, 1439. Prime factorization of 14390 in exponential form is:

14390 = 2¹ × 5¹ × 1439¹

Step-3: Factors of 14380

List of positive integer factors of 14380 that divides 14380 without a remainder.

1, 2, 4, 5, 10, 20, 719, 1438, 2876, 3595, 7190

Step-4: Factors of 14390

List of positive integer factors of 14390 that divides 14380 without a remainder.

1, 2, 5, 10, 1439, 2878, 7195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14380 and 14390. The biggest common factor number is the GCF number.
So the greatest common factor 14380 and 14390 is 10.

Also check out the Least Common Multiple of 14380 and 14390