What is the Greatest Common Factor of 68868 and 68872?

Greatest common factor (GCF) of 68868 and 68872 is 4.

GCF(68868,68872) = 4

We will now calculate the prime factors of 68868 and 68872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68868 and 68872.

How to find the GCF of 68868 and 68872?

We will first find the prime factorization of 68868 and 68872. After we will calculate the factors of 68868 and 68872 and find the biggest common factor number .

Step-1: Prime Factorization of 68868

Prime factors of 68868 are 2, 3, 1913. Prime factorization of 68868 in exponential form is:

68868 = 2² × 3² × 1913¹

Step-2: Prime Factorization of 68872

Prime factors of 68872 are 2, 8609. Prime factorization of 68872 in exponential form is:

68872 = 2³ × 8609¹

Step-3: Factors of 68868

List of positive integer factors of 68868 that divides 68868 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1913, 3826, 5739, 7652, 11478, 17217, 22956, 34434

Step-4: Factors of 68872

List of positive integer factors of 68872 that divides 68868 without a remainder.

1, 2, 4, 8, 8609, 17218, 34436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68868 and 68872. The biggest common factor number is the GCF number.
So the greatest common factor 68868 and 68872 is 4.

Also check out the Least Common Multiple of 68868 and 68872