What is the Greatest Common Factor of 68884 and 68902?

Greatest common factor (GCF) of 68884 and 68902 is 2.

GCF(68884,68902) = 2

We will now calculate the prime factors of 68884 and 68902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68884 and 68902.

How to find the GCF of 68884 and 68902?

We will first find the prime factorization of 68884 and 68902. After we will calculate the factors of 68884 and 68902 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68902

Prime factors of 68902 are 2, 47, 733. Prime factorization of 68902 in exponential form is:

68902 = 2¹ × 47¹ × 733¹

Step-3: Factors of 68884

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

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

Step-4: Factors of 68902

List of positive integer factors of 68902 that divides 68884 without a remainder.

1, 2, 47, 94, 733, 1466, 34451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68884 and 68902. The biggest common factor number is the GCF number.
So the greatest common factor 68884 and 68902 is 2.

Also check out the Least Common Multiple of 68884 and 68902