What is the Greatest Common Factor of 14053 and 14066?

Greatest common factor (GCF) of 14053 and 14066 is 13.

GCF(14053,14066) = 13

We will now calculate the prime factors of 14053 and 14066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14053 and 14066.

How to find the GCF of 14053 and 14066?

We will first find the prime factorization of 14053 and 14066. After we will calculate the factors of 14053 and 14066 and find the biggest common factor number .

Step-1: Prime Factorization of 14053

Prime factors of 14053 are 13, 23, 47. Prime factorization of 14053 in exponential form is:

14053 = 13¹ × 23¹ × 47¹

Step-2: Prime Factorization of 14066

Prime factors of 14066 are 2, 13, 541. Prime factorization of 14066 in exponential form is:

14066 = 2¹ × 13¹ × 541¹

Step-3: Factors of 14053

List of positive integer factors of 14053 that divides 14053 without a remainder.

1, 13, 23, 47, 299, 611, 1081

Step-4: Factors of 14066

List of positive integer factors of 14066 that divides 14053 without a remainder.

1, 2, 13, 26, 541, 1082, 7033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14053 and 14066. The biggest common factor number is the GCF number.
So the greatest common factor 14053 and 14066 is 13.

Also check out the Least Common Multiple of 14053 and 14066