What is the Greatest Common Factor of 14052 and 14066?

Greatest common factor (GCF) of 14052 and 14066 is 2.

GCF(14052,14066) = 2

We will now calculate the prime factors of 14052 and 14066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14052 and 14066.

How to find the GCF of 14052 and 14066?

We will first find the prime factorization of 14052 and 14066. After we will calculate the factors of 14052 and 14066 and find the biggest common factor number .

Step-1: Prime Factorization of 14052

Prime factors of 14052 are 2, 3, 1171. Prime factorization of 14052 in exponential form is:

14052 = 2² × 3¹ × 1171¹

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 14052

List of positive integer factors of 14052 that divides 14052 without a remainder.

1, 2, 3, 4, 6, 12, 1171, 2342, 3513, 4684, 7026

Step-4: Factors of 14066

List of positive integer factors of 14066 that divides 14052 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14052 and 14066. The biggest common factor number is the GCF number.
So the greatest common factor 14052 and 14066 is 2.

Also check out the Least Common Multiple of 14052 and 14066