What is the Greatest Common Factor of 68969 and 68986?

Greatest common factor (GCF) of 68969 and 68986 is 17.

GCF(68969,68986) = 17

We will now calculate the prime factors of 68969 and 68986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68969 and 68986.

How to find the GCF of 68969 and 68986?

We will first find the prime factorization of 68969 and 68986. After we will calculate the factors of 68969 and 68986 and find the biggest common factor number .

Step-1: Prime Factorization of 68969

Prime factors of 68969 are 17, 4057. Prime factorization of 68969 in exponential form is:

68969 = 17¹ × 4057¹

Step-2: Prime Factorization of 68986

Prime factors of 68986 are 2, 17, 2029. Prime factorization of 68986 in exponential form is:

68986 = 2¹ × 17¹ × 2029¹

Step-3: Factors of 68969

List of positive integer factors of 68969 that divides 68969 without a remainder.

1, 17, 4057

Step-4: Factors of 68986

List of positive integer factors of 68986 that divides 68969 without a remainder.

1, 2, 17, 34, 2029, 4058, 34493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68969 and 68986. The biggest common factor number is the GCF number.
So the greatest common factor 68969 and 68986 is 17.

Also check out the Least Common Multiple of 68969 and 68986