What is the Greatest Common Factor of 68872 and 68884?

Greatest common factor (GCF) of 68872 and 68884 is 4.

GCF(68872,68884) = 4

We will now calculate the prime factors of 68872 and 68884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68872 and 68884.

How to find the GCF of 68872 and 68884?

We will first find the prime factorization of 68872 and 68884. After we will calculate the factors of 68872 and 68884 and find the biggest common factor number .

Step-1: Prime Factorization of 68872

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

68872 = 2³ × 8609¹

Step-2: Prime Factorization of 68884

Prime factors of 68884 are 2, 17, 1013. Prime factorization of 68884 in exponential form is:

68884 = 2² × 17¹ × 1013¹

Step-3: Factors of 68872

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

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

Step-4: Factors of 68884

List of positive integer factors of 68884 that divides 68872 without a remainder.

1, 2, 4, 17, 34, 68, 1013, 2026, 4052, 17221, 34442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68872 and 68884. The biggest common factor number is the GCF number.
So the greatest common factor 68872 and 68884 is 4.

Also check out the Least Common Multiple of 68872 and 68884