What is the Greatest Common Factor of 35314 and 35334?

Greatest common factor (GCF) of 35314 and 35334 is 2.

GCF(35314,35334) = 2

We will now calculate the prime factors of 35314 and 35334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35314 and 35334.

How to find the GCF of 35314 and 35334?

We will first find the prime factorization of 35314 and 35334. After we will calculate the factors of 35314 and 35334 and find the biggest common factor number .

Step-1: Prime Factorization of 35314

Prime factors of 35314 are 2, 17657. Prime factorization of 35314 in exponential form is:

35314 = 2¹ × 17657¹

Step-2: Prime Factorization of 35334

Prime factors of 35334 are 2, 3, 13, 151. Prime factorization of 35334 in exponential form is:

35334 = 2¹ × 3² × 13¹ × 151¹

Step-3: Factors of 35314

List of positive integer factors of 35314 that divides 35314 without a remainder.

1, 2, 17657

Step-4: Factors of 35334

List of positive integer factors of 35334 that divides 35314 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 151, 234, 302, 453, 906, 1359, 1963, 2718, 3926, 5889, 11778, 17667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35314 and 35334. The biggest common factor number is the GCF number.
So the greatest common factor 35314 and 35334 is 2.

Also check out the Least Common Multiple of 35314 and 35334