What is the Greatest Common Factor of 36348 and 36352?

Greatest common factor (GCF) of 36348 and 36352 is 4.

GCF(36348,36352) = 4

We will now calculate the prime factors of 36348 and 36352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36348 and 36352.

How to find the GCF of 36348 and 36352?

We will first find the prime factorization of 36348 and 36352. After we will calculate the factors of 36348 and 36352 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36352

Prime factors of 36352 are 2, 71. Prime factorization of 36352 in exponential form is:

36352 = 2⁹ × 71¹

Step-3: Factors of 36348

List of positive integer factors of 36348 that divides 36348 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

Step-4: Factors of 36352

List of positive integer factors of 36352 that divides 36348 without a remainder.

1, 2, 4, 8, 16, 32, 64, 71, 128, 142, 256, 284, 512, 568, 1136, 2272, 4544, 9088, 18176

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36348 and 36352. The biggest common factor number is the GCF number.
So the greatest common factor 36348 and 36352 is 4.

Also check out the Least Common Multiple of 36348 and 36352