What is the Greatest Common Factor of 68196 and 68212?

Greatest common factor (GCF) of 68196 and 68212 is 4.

GCF(68196,68212) = 4

We will now calculate the prime factors of 68196 and 68212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68196 and 68212.

How to find the GCF of 68196 and 68212?

We will first find the prime factorization of 68196 and 68212. After we will calculate the factors of 68196 and 68212 and find the biggest common factor number .

Step-1: Prime Factorization of 68196

Prime factors of 68196 are 2, 3, 5683. Prime factorization of 68196 in exponential form is:

68196 = 2² × 3¹ × 5683¹

Step-2: Prime Factorization of 68212

Prime factors of 68212 are 2, 17053. Prime factorization of 68212 in exponential form is:

68212 = 2² × 17053¹

Step-3: Factors of 68196

List of positive integer factors of 68196 that divides 68196 without a remainder.

1, 2, 3, 4, 6, 12, 5683, 11366, 17049, 22732, 34098

Step-4: Factors of 68212

List of positive integer factors of 68212 that divides 68196 without a remainder.

1, 2, 4, 17053, 34106

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68196 and 68212. The biggest common factor number is the GCF number.
So the greatest common factor 68196 and 68212 is 4.

Also check out the Least Common Multiple of 68196 and 68212