What is the Greatest Common Factor of 36324 and 36334?

Greatest common factor (GCF) of 36324 and 36334 is 2.

GCF(36324,36334) = 2

We will now calculate the prime factors of 36324 and 36334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36324 and 36334.

How to find the GCF of 36324 and 36334?

We will first find the prime factorization of 36324 and 36334. After we will calculate the factors of 36324 and 36334 and find the biggest common factor number .

Step-1: Prime Factorization of 36324

Prime factors of 36324 are 2, 3, 1009. Prime factorization of 36324 in exponential form is:

36324 = 2² × 3² × 1009¹

Step-2: Prime Factorization of 36334

Prime factors of 36334 are 2, 37, 491. Prime factorization of 36334 in exponential form is:

36334 = 2¹ × 37¹ × 491¹

Step-3: Factors of 36324

List of positive integer factors of 36324 that divides 36324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1009, 2018, 3027, 4036, 6054, 9081, 12108, 18162

Step-4: Factors of 36334

List of positive integer factors of 36334 that divides 36324 without a remainder.

1, 2, 37, 74, 491, 982, 18167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36324 and 36334. The biggest common factor number is the GCF number.
So the greatest common factor 36324 and 36334 is 2.

Also check out the Least Common Multiple of 36324 and 36334