What is the Greatest Common Factor of 14076 and 14086?

Greatest common factor (GCF) of 14076 and 14086 is 2.

GCF(14076,14086) = 2

We will now calculate the prime factors of 14076 and 14086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14076 and 14086.

How to find the GCF of 14076 and 14086?

We will first find the prime factorization of 14076 and 14086. After we will calculate the factors of 14076 and 14086 and find the biggest common factor number .

Step-1: Prime Factorization of 14076

Prime factors of 14076 are 2, 3, 17, 23. Prime factorization of 14076 in exponential form is:

14076 = 2² × 3² × 17¹ × 23¹

Step-2: Prime Factorization of 14086

Prime factors of 14086 are 2, 7043. Prime factorization of 14086 in exponential form is:

14086 = 2¹ × 7043¹

Step-3: Factors of 14076

List of positive integer factors of 14076 that divides 14076 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 23, 34, 36, 46, 51, 68, 69, 92, 102, 138, 153, 204, 207, 276, 306, 391, 414, 612, 782, 828, 1173, 1564, 2346, 3519, 4692, 7038

Step-4: Factors of 14086

List of positive integer factors of 14086 that divides 14076 without a remainder.

1, 2, 7043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14076 and 14086. The biggest common factor number is the GCF number.
So the greatest common factor 14076 and 14086 is 2.

Also check out the Least Common Multiple of 14076 and 14086