What is the Greatest Common Factor of 35014 and 35031?

Greatest common factor (GCF) of 35014 and 35031 is 1.

GCF(35014,35031) = 1

We will now calculate the prime factors of 35014 and 35031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35014 and 35031.

How to find the GCF of 35014 and 35031?

We will first find the prime factorization of 35014 and 35031. After we will calculate the factors of 35014 and 35031 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 35031

Prime factors of 35031 are 3, 11677. Prime factorization of 35031 in exponential form is:

35031 = 3¹ × 11677¹

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 35031

List of positive integer factors of 35031 that divides 35014 without a remainder.

1, 3, 11677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35014 and 35031. The biggest common factor number is the GCF number.
So the greatest common factor 35014 and 35031 is 1.

Also check out the Least Common Multiple of 35014 and 35031