What is the Greatest Common Factor of 35014 and 35027?

Greatest common factor (GCF) of 35014 and 35027 is 1.

GCF(35014,35027) = 1

We will now calculate the prime factors of 35014 and 35027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35014 and 35027.

How to find the GCF of 35014 and 35027?

We will first find the prime factorization of 35014 and 35027. After we will calculate the factors of 35014 and 35027 and find the biggest common factor number .

Step-1: Prime Factorization of 35014

Prime factors of 35014 are 2, 7, 41, 61. Prime factorization of 35014 in exponential form is:

35014 = 2¹ × 7¹ × 41¹ × 61¹

Step-2: Prime Factorization of 35027

Prime factors of 35027 are 35027. Prime factorization of 35027 in exponential form is:

35027 = 35027¹

Step-3: Factors of 35014

List of positive integer factors of 35014 that divides 35014 without a remainder.

1, 2, 7, 14, 41, 61, 82, 122, 287, 427, 574, 854, 2501, 5002, 17507

Step-4: Factors of 35027

List of positive integer factors of 35027 that divides 35014 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35014 and 35027. The biggest common factor number is the GCF number.
So the greatest common factor 35014 and 35027 is 1.

Also check out the Least Common Multiple of 35014 and 35027