What is the Greatest Common Factor of 14054 and 14070?

Greatest common factor (GCF) of 14054 and 14070 is 2.

GCF(14054,14070) = 2

We will now calculate the prime factors of 14054 and 14070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14054 and 14070.

How to find the GCF of 14054 and 14070?

We will first find the prime factorization of 14054 and 14070. After we will calculate the factors of 14054 and 14070 and find the biggest common factor number .

Step-1: Prime Factorization of 14054

Prime factors of 14054 are 2, 7027. Prime factorization of 14054 in exponential form is:

14054 = 2¹ × 7027¹

Step-2: Prime Factorization of 14070

Prime factors of 14070 are 2, 3, 5, 7, 67. Prime factorization of 14070 in exponential form is:

14070 = 2¹ × 3¹ × 5¹ × 7¹ × 67¹

Step-3: Factors of 14054

List of positive integer factors of 14054 that divides 14054 without a remainder.

1, 2, 7027

Step-4: Factors of 14070

List of positive integer factors of 14070 that divides 14054 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 67, 70, 105, 134, 201, 210, 335, 402, 469, 670, 938, 1005, 1407, 2010, 2345, 2814, 4690, 7035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14054 and 14070. The biggest common factor number is the GCF number.
So the greatest common factor 14054 and 14070 is 2.

Also check out the Least Common Multiple of 14054 and 14070