What is the Greatest Common Factor of 38352 and 38356?

Greatest common factor (GCF) of 38352 and 38356 is 4.

GCF(38352,38356) = 4

We will now calculate the prime factors of 38352 and 38356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38352 and 38356.

How to find the GCF of 38352 and 38356?

We will first find the prime factorization of 38352 and 38356. After we will calculate the factors of 38352 and 38356 and find the biggest common factor number .

Step-1: Prime Factorization of 38352

Prime factors of 38352 are 2, 3, 17, 47. Prime factorization of 38352 in exponential form is:

38352 = 2⁴ × 3¹ × 17¹ × 47¹

Step-2: Prime Factorization of 38356

Prime factors of 38356 are 2, 43, 223. Prime factorization of 38356 in exponential form is:

38356 = 2² × 43¹ × 223¹

Step-3: Factors of 38352

List of positive integer factors of 38352 that divides 38352 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 47, 48, 51, 68, 94, 102, 136, 141, 188, 204, 272, 282, 376, 408, 564, 752, 799, 816, 1128, 1598, 2256, 2397, 3196, 4794, 6392, 9588, 12784, 19176

Step-4: Factors of 38356

List of positive integer factors of 38356 that divides 38352 without a remainder.

1, 2, 4, 43, 86, 172, 223, 446, 892, 9589, 19178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38352 and 38356. The biggest common factor number is the GCF number.
So the greatest common factor 38352 and 38356 is 4.

Also check out the Least Common Multiple of 38352 and 38356