What is the Greatest Common Factor of 35338 and 35352?

Greatest common factor (GCF) of 35338 and 35352 is 2.

GCF(35338,35352) = 2

We will now calculate the prime factors of 35338 and 35352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35338 and 35352.

How to find the GCF of 35338 and 35352?

We will first find the prime factorization of 35338 and 35352. After we will calculate the factors of 35338 and 35352 and find the biggest common factor number .

Step-1: Prime Factorization of 35338

Prime factors of 35338 are 2, 17669. Prime factorization of 35338 in exponential form is:

35338 = 2¹ × 17669¹

Step-2: Prime Factorization of 35352

Prime factors of 35352 are 2, 3, 491. Prime factorization of 35352 in exponential form is:

35352 = 2³ × 3² × 491¹

Step-3: Factors of 35338

List of positive integer factors of 35338 that divides 35338 without a remainder.

1, 2, 17669

Step-4: Factors of 35352

List of positive integer factors of 35352 that divides 35338 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 491, 982, 1473, 1964, 2946, 3928, 4419, 5892, 8838, 11784, 17676

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35338 and 35352. The biggest common factor number is the GCF number.
So the greatest common factor 35338 and 35352 is 2.

Also check out the Least Common Multiple of 35338 and 35352