What is the Greatest Common Factor of 68412 and 68416?

Greatest common factor (GCF) of 68412 and 68416 is 4.

GCF(68412,68416) = 4

We will now calculate the prime factors of 68412 and 68416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68412 and 68416.

How to find the GCF of 68412 and 68416?

We will first find the prime factorization of 68412 and 68416. After we will calculate the factors of 68412 and 68416 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68416

Prime factors of 68416 are 2, 1069. Prime factorization of 68416 in exponential form is:

68416 = 2⁶ × 1069¹

Step-3: Factors of 68412

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

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

Step-4: Factors of 68416

List of positive integer factors of 68416 that divides 68412 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1069, 2138, 4276, 8552, 17104, 34208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68412 and 68416. The biggest common factor number is the GCF number.
So the greatest common factor 68412 and 68416 is 4.

Also check out the Least Common Multiple of 68412 and 68416