What is the Greatest Common Factor of 39208 and 39212?

Greatest common factor (GCF) of 39208 and 39212 is 4.

GCF(39208,39212) = 4

We will now calculate the prime factors of 39208 and 39212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39208 and 39212.

How to find the GCF of 39208 and 39212?

We will first find the prime factorization of 39208 and 39212. After we will calculate the factors of 39208 and 39212 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 39212

Prime factors of 39212 are 2, 9803. Prime factorization of 39212 in exponential form is:

39212 = 2² × 9803¹

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 39212

List of positive integer factors of 39212 that divides 39208 without a remainder.

1, 2, 4, 9803, 19606

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39208 and 39212. The biggest common factor number is the GCF number.
So the greatest common factor 39208 and 39212 is 4.

Also check out the Least Common Multiple of 39208 and 39212