What is the Greatest Common Factor of 36334 and 36348?

Greatest common factor (GCF) of 36334 and 36348 is 2.

GCF(36334,36348) = 2

We will now calculate the prime factors of 36334 and 36348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36334 and 36348.

How to find the GCF of 36334 and 36348?

We will first find the prime factorization of 36334 and 36348. After we will calculate the factors of 36334 and 36348 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36348

Prime factors of 36348 are 2, 3, 13, 233. Prime factorization of 36348 in exponential form is:

36348 = 2² × 3¹ × 13¹ × 233¹

Step-3: Factors of 36334

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

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

Step-4: Factors of 36348

List of positive integer factors of 36348 that divides 36334 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 233, 466, 699, 932, 1398, 2796, 3029, 6058, 9087, 12116, 18174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36334 and 36348. The biggest common factor number is the GCF number.
So the greatest common factor 36334 and 36348 is 2.

Also check out the Least Common Multiple of 36334 and 36348