What is the Greatest Common Factor of 32902 and 32918?

Greatest common factor (GCF) of 32902 and 32918 is 2.

GCF(32902,32918) = 2

We will now calculate the prime factors of 32902 and 32918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32902 and 32918.

How to find the GCF of 32902 and 32918?

We will first find the prime factorization of 32902 and 32918. After we will calculate the factors of 32902 and 32918 and find the biggest common factor number .

Step-1: Prime Factorization of 32902

Prime factors of 32902 are 2, 16451. Prime factorization of 32902 in exponential form is:

32902 = 2¹ × 16451¹

Step-2: Prime Factorization of 32918

Prime factors of 32918 are 2, 109, 151. Prime factorization of 32918 in exponential form is:

32918 = 2¹ × 109¹ × 151¹

Step-3: Factors of 32902

List of positive integer factors of 32902 that divides 32902 without a remainder.

1, 2, 16451

Step-4: Factors of 32918

List of positive integer factors of 32918 that divides 32902 without a remainder.

1, 2, 109, 151, 218, 302, 16459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32902 and 32918. The biggest common factor number is the GCF number.
So the greatest common factor 32902 and 32918 is 2.

Also check out the Least Common Multiple of 32902 and 32918