What is the Greatest Common Factor of 35332 and 35338?

Greatest common factor (GCF) of 35332 and 35338 is 2.

GCF(35332,35338) = 2

We will now calculate the prime factors of 35332 and 35338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35332 and 35338.

How to find the GCF of 35332 and 35338?

We will first find the prime factorization of 35332 and 35338. After we will calculate the factors of 35332 and 35338 and find the biggest common factor number .

Step-1: Prime Factorization of 35332

Prime factors of 35332 are 2, 11, 73. Prime factorization of 35332 in exponential form is:

35332 = 2² × 11² × 73¹

Step-2: Prime Factorization of 35338

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

35338 = 2¹ × 17669¹

Step-3: Factors of 35332

List of positive integer factors of 35332 that divides 35332 without a remainder.

1, 2, 4, 11, 22, 44, 73, 121, 146, 242, 292, 484, 803, 1606, 3212, 8833, 17666

Step-4: Factors of 35338

List of positive integer factors of 35338 that divides 35332 without a remainder.

1, 2, 17669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35332 and 35338. The biggest common factor number is the GCF number.
So the greatest common factor 35332 and 35338 is 2.

Also check out the Least Common Multiple of 35332 and 35338