What is the Greatest Common Factor of 68884 and 68901?

Greatest common factor (GCF) of 68884 and 68901 is 17.

GCF(68884,68901) = 17

We will now calculate the prime factors of 68884 and 68901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68884 and 68901.

How to find the GCF of 68884 and 68901?

We will first find the prime factorization of 68884 and 68901. After we will calculate the factors of 68884 and 68901 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 68901

Prime factors of 68901 are 3, 7, 17, 193. Prime factorization of 68901 in exponential form is:

68901 = 3¹ × 7¹ × 17¹ × 193¹

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 68901

List of positive integer factors of 68901 that divides 68884 without a remainder.

1, 3, 7, 17, 21, 51, 119, 193, 357, 579, 1351, 3281, 4053, 9843, 22967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68884 and 68901. The biggest common factor number is the GCF number.
So the greatest common factor 68884 and 68901 is 17.

Also check out the Least Common Multiple of 68884 and 68901