What is the Greatest Common Factor of 35308 and 35314?

Greatest common factor (GCF) of 35308 and 35314 is 2.

GCF(35308,35314) = 2

We will now calculate the prime factors of 35308 and 35314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35308 and 35314.

How to find the GCF of 35308 and 35314?

We will first find the prime factorization of 35308 and 35314. After we will calculate the factors of 35308 and 35314 and find the biggest common factor number .

Step-1: Prime Factorization of 35308

Prime factors of 35308 are 2, 7, 13, 97. Prime factorization of 35308 in exponential form is:

35308 = 2² × 7¹ × 13¹ × 97¹

Step-2: Prime Factorization of 35314

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

35314 = 2¹ × 17657¹

Step-3: Factors of 35308

List of positive integer factors of 35308 that divides 35308 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 97, 182, 194, 364, 388, 679, 1261, 1358, 2522, 2716, 5044, 8827, 17654

Step-4: Factors of 35314

List of positive integer factors of 35314 that divides 35308 without a remainder.

1, 2, 17657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35308 and 35314. The biggest common factor number is the GCF number.
So the greatest common factor 35308 and 35314 is 2.

Also check out the Least Common Multiple of 35308 and 35314