What is the Greatest Common Factor of 68889 and 68907?

Greatest common factor (GCF) of 68889 and 68907 is 3.

GCF(68889,68907) = 3

We will now calculate the prime factors of 68889 and 68907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68889 and 68907.

How to find the GCF of 68889 and 68907?

We will first find the prime factorization of 68889 and 68907. After we will calculate the factors of 68889 and 68907 and find the biggest common factor number .

Step-1: Prime Factorization of 68889

Prime factors of 68889 are 3, 22963. Prime factorization of 68889 in exponential form is:

68889 = 3¹ × 22963¹

Step-2: Prime Factorization of 68907

Prime factors of 68907 are 3, 103, 223. Prime factorization of 68907 in exponential form is:

68907 = 3¹ × 103¹ × 223¹

Step-3: Factors of 68889

List of positive integer factors of 68889 that divides 68889 without a remainder.

1, 3, 22963

Step-4: Factors of 68907

List of positive integer factors of 68907 that divides 68889 without a remainder.

1, 3, 103, 223, 309, 669, 22969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68889 and 68907. The biggest common factor number is the GCF number.
So the greatest common factor 68889 and 68907 is 3.

Also check out the Least Common Multiple of 68889 and 68907