What is the Greatest Common Factor of 14105 and 14124?

Greatest common factor (GCF) of 14105 and 14124 is 1.

GCF(14105,14124) = 1

We will now calculate the prime factors of 14105 and 14124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14105 and 14124.

How to find the GCF of 14105 and 14124?

We will first find the prime factorization of 14105 and 14124. After we will calculate the factors of 14105 and 14124 and find the biggest common factor number .

Step-1: Prime Factorization of 14105

Prime factors of 14105 are 5, 7, 13, 31. Prime factorization of 14105 in exponential form is:

14105 = 5¹ × 7¹ × 13¹ × 31¹

Step-2: Prime Factorization of 14124

Prime factors of 14124 are 2, 3, 11, 107. Prime factorization of 14124 in exponential form is:

14124 = 2² × 3¹ × 11¹ × 107¹

Step-3: Factors of 14105

List of positive integer factors of 14105 that divides 14105 without a remainder.

1, 5, 7, 13, 31, 35, 65, 91, 155, 217, 403, 455, 1085, 2015, 2821

Step-4: Factors of 14124

List of positive integer factors of 14124 that divides 14105 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 107, 132, 214, 321, 428, 642, 1177, 1284, 2354, 3531, 4708, 7062

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14105 and 14124. The biggest common factor number is the GCF number.
So the greatest common factor 14105 and 14124 is 1.

Also check out the Least Common Multiple of 14105 and 14124