What is the Greatest Common Factor of 35014 and 35033?

Greatest common factor (GCF) of 35014 and 35033 is 1.

GCF(35014,35033) = 1

We will now calculate the prime factors of 35014 and 35033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35014 and 35033.

How to find the GCF of 35014 and 35033?

We will first find the prime factorization of 35014 and 35033. After we will calculate the factors of 35014 and 35033 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 35033

Prime factors of 35033 are 53, 661. Prime factorization of 35033 in exponential form is:

35033 = 53¹ × 661¹

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 35033

List of positive integer factors of 35033 that divides 35014 without a remainder.

1, 53, 661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35014 and 35033. The biggest common factor number is the GCF number.
So the greatest common factor 35014 and 35033 is 1.

Also check out the Least Common Multiple of 35014 and 35033