What is the Greatest Common Factor of 14076 and 14092?

Greatest common factor (GCF) of 14076 and 14092 is 4.

GCF(14076,14092) = 4

We will now calculate the prime factors of 14076 and 14092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14076 and 14092.

How to find the GCF of 14076 and 14092?

We will first find the prime factorization of 14076 and 14092. After we will calculate the factors of 14076 and 14092 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 14092

Prime factors of 14092 are 2, 13, 271. Prime factorization of 14092 in exponential form is:

14092 = 2² × 13¹ × 271¹

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 14092

List of positive integer factors of 14092 that divides 14076 without a remainder.

1, 2, 4, 13, 26, 52, 271, 542, 1084, 3523, 7046

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14076 and 14092. The biggest common factor number is the GCF number.
So the greatest common factor 14076 and 14092 is 4.

Also check out the Least Common Multiple of 14076 and 14092