What is the Greatest Common Factor of 35308 and 35322?

Greatest common factor (GCF) of 35308 and 35322 is 14.

GCF(35308,35322) = 14

We will now calculate the prime factors of 35308 and 35322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35308 and 35322.

How to find the GCF of 35308 and 35322?

We will first find the prime factorization of 35308 and 35322. After we will calculate the factors of 35308 and 35322 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 35322

Prime factors of 35322 are 2, 3, 7, 29. Prime factorization of 35322 in exponential form is:

35322 = 2¹ × 3¹ × 7¹ × 29²

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 35322

List of positive integer factors of 35322 that divides 35308 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 42, 58, 87, 174, 203, 406, 609, 841, 1218, 1682, 2523, 5046, 5887, 11774, 17661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35308 and 35322. The biggest common factor number is the GCF number.
So the greatest common factor 35308 and 35322 is 14.

Also check out the Least Common Multiple of 35308 and 35322