What is the Greatest Common Factor of 35014 and 35034?

Greatest common factor (GCF) of 35014 and 35034 is 2.

GCF(35014,35034) = 2

We will now calculate the prime factors of 35014 and 35034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35014 and 35034.

How to find the GCF of 35014 and 35034?

We will first find the prime factorization of 35014 and 35034. After we will calculate the factors of 35014 and 35034 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 35034

Prime factors of 35034 are 2, 3, 5839. Prime factorization of 35034 in exponential form is:

35034 = 2¹ × 3¹ × 5839¹

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 35034

List of positive integer factors of 35034 that divides 35014 without a remainder.

1, 2, 3, 6, 5839, 11678, 17517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35014 and 35034. The biggest common factor number is the GCF number.
So the greatest common factor 35014 and 35034 is 2.

Also check out the Least Common Multiple of 35014 and 35034