What is the Greatest Common Factor of 14098 and 14105?

Greatest common factor (GCF) of 14098 and 14105 is 7.

GCF(14098,14105) = 7

We will now calculate the prime factors of 14098 and 14105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14098 and 14105.

How to find the GCF of 14098 and 14105?

We will first find the prime factorization of 14098 and 14105. After we will calculate the factors of 14098 and 14105 and find the biggest common factor number .

Step-1: Prime Factorization of 14098

Prime factors of 14098 are 2, 7, 19, 53. Prime factorization of 14098 in exponential form is:

14098 = 2¹ × 7¹ × 19¹ × 53¹

Step-2: 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-3: Factors of 14098

List of positive integer factors of 14098 that divides 14098 without a remainder.

1, 2, 7, 14, 19, 38, 53, 106, 133, 266, 371, 742, 1007, 2014, 7049

Step-4: Factors of 14105

List of positive integer factors of 14105 that divides 14098 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14098 and 14105. The biggest common factor number is the GCF number.
So the greatest common factor 14098 and 14105 is 7.

Also check out the Least Common Multiple of 14098 and 14105