What is the Greatest Common Factor of 39216 and 39234?

Greatest common factor (GCF) of 39216 and 39234 is 6.

GCF(39216,39234) = 6

We will now calculate the prime factors of 39216 and 39234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39216 and 39234.

How to find the GCF of 39216 and 39234?

We will first find the prime factorization of 39216 and 39234. After we will calculate the factors of 39216 and 39234 and find the biggest common factor number .

Step-1: Prime Factorization of 39216

Prime factors of 39216 are 2, 3, 19, 43. Prime factorization of 39216 in exponential form is:

39216 = 2⁴ × 3¹ × 19¹ × 43¹

Step-2: Prime Factorization of 39234

Prime factors of 39234 are 2, 3, 13, 503. Prime factorization of 39234 in exponential form is:

39234 = 2¹ × 3¹ × 13¹ × 503¹

Step-3: Factors of 39216

List of positive integer factors of 39216 that divides 39216 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 43, 48, 57, 76, 86, 114, 129, 152, 172, 228, 258, 304, 344, 456, 516, 688, 817, 912, 1032, 1634, 2064, 2451, 3268, 4902, 6536, 9804, 13072, 19608

Step-4: Factors of 39234

List of positive integer factors of 39234 that divides 39216 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 503, 1006, 1509, 3018, 6539, 13078, 19617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39216 and 39234. The biggest common factor number is the GCF number.
So the greatest common factor 39216 and 39234 is 6.

Also check out the Least Common Multiple of 39216 and 39234