What is the Greatest Common Factor of 14410 and 14420?

Greatest common factor (GCF) of 14410 and 14420 is 10.

GCF(14410,14420) = 10

We will now calculate the prime factors of 14410 and 14420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14410 and 14420.

How to find the GCF of 14410 and 14420?

We will first find the prime factorization of 14410 and 14420. After we will calculate the factors of 14410 and 14420 and find the biggest common factor number .

Step-1: Prime Factorization of 14410

Prime factors of 14410 are 2, 5, 11, 131. Prime factorization of 14410 in exponential form is:

14410 = 2¹ × 5¹ × 11¹ × 131¹

Step-2: Prime Factorization of 14420

Prime factors of 14420 are 2, 5, 7, 103. Prime factorization of 14420 in exponential form is:

14420 = 2² × 5¹ × 7¹ × 103¹

Step-3: Factors of 14410

List of positive integer factors of 14410 that divides 14410 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 131, 262, 655, 1310, 1441, 2882, 7205

Step-4: Factors of 14420

List of positive integer factors of 14420 that divides 14410 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 103, 140, 206, 412, 515, 721, 1030, 1442, 2060, 2884, 3605, 7210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14410 and 14420. The biggest common factor number is the GCF number.
So the greatest common factor 14410 and 14420 is 10.

Also check out the Least Common Multiple of 14410 and 14420