What is the Greatest Common Factor of 68396 and 68412?

Greatest common factor (GCF) of 68396 and 68412 is 4.

GCF(68396,68412) = 4

We will now calculate the prime factors of 68396 and 68412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68396 and 68412.

How to find the GCF of 68396 and 68412?

We will first find the prime factorization of 68396 and 68412. After we will calculate the factors of 68396 and 68412 and find the biggest common factor number .

Step-1: Prime Factorization of 68396

Prime factors of 68396 are 2, 17099. Prime factorization of 68396 in exponential form is:

68396 = 2² × 17099¹

Step-2: Prime Factorization of 68412

Prime factors of 68412 are 2, 3, 5701. Prime factorization of 68412 in exponential form is:

68412 = 2² × 3¹ × 5701¹

Step-3: Factors of 68396

List of positive integer factors of 68396 that divides 68396 without a remainder.

1, 2, 4, 17099, 34198

Step-4: Factors of 68412

List of positive integer factors of 68412 that divides 68396 without a remainder.

1, 2, 3, 4, 6, 12, 5701, 11402, 17103, 22804, 34206

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68396 and 68412. The biggest common factor number is the GCF number.
So the greatest common factor 68396 and 68412 is 4.

Also check out the Least Common Multiple of 68396 and 68412