What is the Greatest Common Factor of 4 and 68?

Greatest common factor (GCF) of 4 and 68 is 4.

GCF(4,68) = 4

We will now calculate the prime factors of 4 and 68, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4 and 68.

How to find the GCF of 4 and 68?

We will first find the prime factorization of 4 and 68. After we will calculate the factors of 4 and 68 and find the biggest common factor number .

Step-1: Prime Factorization of 4

Prime factors of 4 are 2. Prime factorization of 4 in exponential form is:

4 = 2²

Step-2: Prime Factorization of 68

Prime factors of 68 are 2, 17. Prime factorization of 68 in exponential form is:

68 = 2² × 17¹

Step-3: Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1, 2

Step-4: Factors of 68

List of positive integer factors of 68 that divides 4 without a remainder.

1, 2, 4, 17, 34

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4 and 68. The biggest common factor number is the GCF number.
So the greatest common factor 4 and 68 is 4.

Also check out the Least Common Multiple of 4 and 68