What is the Greatest Common Factor of 35008 and 35014?

Greatest common factor (GCF) of 35008 and 35014 is 2.

GCF(35008,35014) = 2

We will now calculate the prime factors of 35008 and 35014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35008 and 35014.

How to find the GCF of 35008 and 35014?

We will first find the prime factorization of 35008 and 35014. After we will calculate the factors of 35008 and 35014 and find the biggest common factor number .

Step-1: Prime Factorization of 35008

Prime factors of 35008 are 2, 547. Prime factorization of 35008 in exponential form is:

35008 = 2⁶ × 547¹

Step-2: 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-3: Factors of 35008

List of positive integer factors of 35008 that divides 35008 without a remainder.

1, 2, 4, 8, 16, 32, 64, 547, 1094, 2188, 4376, 8752, 17504

Step-4: Factors of 35014

List of positive integer factors of 35014 that divides 35008 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35008 and 35014. The biggest common factor number is the GCF number.
So the greatest common factor 35008 and 35014 is 2.

Also check out the Least Common Multiple of 35008 and 35014