What is the Greatest Common Factor of 38352 and 38362?

Greatest common factor (GCF) of 38352 and 38362 is 2.

GCF(38352,38362) = 2

We will now calculate the prime factors of 38352 and 38362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38352 and 38362.

How to find the GCF of 38352 and 38362?

We will first find the prime factorization of 38352 and 38362. After we will calculate the factors of 38352 and 38362 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 38362

Prime factors of 38362 are 2, 19181. Prime factorization of 38362 in exponential form is:

38362 = 2¹ × 19181¹

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 38362

List of positive integer factors of 38362 that divides 38352 without a remainder.

1, 2, 19181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38352 and 38362. The biggest common factor number is the GCF number.
So the greatest common factor 38352 and 38362 is 2.

Also check out the Least Common Multiple of 38352 and 38362