What is the Greatest Common Factor of 39208 and 39216?

Greatest common factor (GCF) of 39208 and 39216 is 8.

GCF(39208,39216) = 8

We will now calculate the prime factors of 39208 and 39216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39208 and 39216.

How to find the GCF of 39208 and 39216?

We will first find the prime factorization of 39208 and 39216. After we will calculate the factors of 39208 and 39216 and find the biggest common factor number .

Step-1: Prime Factorization of 39208

Prime factors of 39208 are 2, 13, 29. Prime factorization of 39208 in exponential form is:

39208 = 2³ × 13² × 29¹

Step-2: 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-3: Factors of 39208

List of positive integer factors of 39208 that divides 39208 without a remainder.

1, 2, 4, 8, 13, 26, 29, 52, 58, 104, 116, 169, 232, 338, 377, 676, 754, 1352, 1508, 3016, 4901, 9802, 19604

Step-4: Factors of 39216

List of positive integer factors of 39216 that divides 39208 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39208 and 39216. The biggest common factor number is the GCF number.
So the greatest common factor 39208 and 39216 is 8.

Also check out the Least Common Multiple of 39208 and 39216