What is the Greatest Common Factor of 14065 and 14070?

Greatest common factor (GCF) of 14065 and 14070 is 5.

GCF(14065,14070) = 5

We will now calculate the prime factors of 14065 and 14070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14065 and 14070.

How to find the GCF of 14065 and 14070?

We will first find the prime factorization of 14065 and 14070. After we will calculate the factors of 14065 and 14070 and find the biggest common factor number .

Step-1: Prime Factorization of 14065

Prime factors of 14065 are 5, 29, 97. Prime factorization of 14065 in exponential form is:

14065 = 5¹ × 29¹ × 97¹

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 14065

List of positive integer factors of 14065 that divides 14065 without a remainder.

1, 5, 29, 97, 145, 485, 2813

Step-4: Factors of 14070

List of positive integer factors of 14070 that divides 14065 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 14065 and 14070. The biggest common factor number is the GCF number.
So the greatest common factor 14065 and 14070 is 5.

Also check out the Least Common Multiple of 14065 and 14070