What is the Greatest Common Factor of 14070 and 14084?

Greatest common factor (GCF) of 14070 and 14084 is 14.

GCF(14070,14084) = 14

We will now calculate the prime factors of 14070 and 14084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14070 and 14084.

How to find the GCF of 14070 and 14084?

We will first find the prime factorization of 14070 and 14084. After we will calculate the factors of 14070 and 14084 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14084

Prime factors of 14084 are 2, 7, 503. Prime factorization of 14084 in exponential form is:

14084 = 2² × 7¹ × 503¹

Step-3: Factors of 14070

List of positive integer factors of 14070 that divides 14070 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

Step-4: Factors of 14084

List of positive integer factors of 14084 that divides 14070 without a remainder.

1, 2, 4, 7, 14, 28, 503, 1006, 2012, 3521, 7042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14070 and 14084. The biggest common factor number is the GCF number.
So the greatest common factor 14070 and 14084 is 14.

Also check out the Least Common Multiple of 14070 and 14084