What is the Greatest Common Factor of 68148 and 68168?

Greatest common factor (GCF) of 68148 and 68168 is 4.

GCF(68148,68168) = 4

We will now calculate the prime factors of 68148 and 68168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68148 and 68168.

How to find the GCF of 68148 and 68168?

We will first find the prime factorization of 68148 and 68168. After we will calculate the factors of 68148 and 68168 and find the biggest common factor number .

Step-1: Prime Factorization of 68148

Prime factors of 68148 are 2, 3, 631. Prime factorization of 68148 in exponential form is:

68148 = 2² × 3³ × 631¹

Step-2: Prime Factorization of 68168

Prime factors of 68168 are 2, 8521. Prime factorization of 68168 in exponential form is:

68168 = 2³ × 8521¹

Step-3: Factors of 68148

List of positive integer factors of 68148 that divides 68148 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 631, 1262, 1893, 2524, 3786, 5679, 7572, 11358, 17037, 22716, 34074

Step-4: Factors of 68168

List of positive integer factors of 68168 that divides 68148 without a remainder.

1, 2, 4, 8, 8521, 17042, 34084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68148 and 68168. The biggest common factor number is the GCF number.
So the greatest common factor 68148 and 68168 is 4.

Also check out the Least Common Multiple of 68148 and 68168