What is the Greatest Common Factor of 36234 and 36248?

Greatest common factor (GCF) of 36234 and 36248 is 2.

GCF(36234,36248) = 2

We will now calculate the prime factors of 36234 and 36248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36234 and 36248.

How to find the GCF of 36234 and 36248?

We will first find the prime factorization of 36234 and 36248. After we will calculate the factors of 36234 and 36248 and find the biggest common factor number .

Step-1: Prime Factorization of 36234

Prime factors of 36234 are 2, 3, 11, 61. Prime factorization of 36234 in exponential form is:

36234 = 2¹ × 3³ × 11¹ × 61¹

Step-2: Prime Factorization of 36248

Prime factors of 36248 are 2, 23, 197. Prime factorization of 36248 in exponential form is:

36248 = 2³ × 23¹ × 197¹

Step-3: Factors of 36234

List of positive integer factors of 36234 that divides 36234 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 61, 66, 99, 122, 183, 198, 297, 366, 549, 594, 671, 1098, 1342, 1647, 2013, 3294, 4026, 6039, 12078, 18117

Step-4: Factors of 36248

List of positive integer factors of 36248 that divides 36234 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 197, 394, 788, 1576, 4531, 9062, 18124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36234 and 36248. The biggest common factor number is the GCF number.
So the greatest common factor 36234 and 36248 is 2.

Also check out the Least Common Multiple of 36234 and 36248