What is the Greatest Common Factor of 68943 and 68958?

Greatest common factor (GCF) of 68943 and 68958 is 3.

GCF(68943,68958) = 3

We will now calculate the prime factors of 68943 and 68958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68943 and 68958.

How to find the GCF of 68943 and 68958?

We will first find the prime factorization of 68943 and 68958. After we will calculate the factors of 68943 and 68958 and find the biggest common factor number .

Step-1: Prime Factorization of 68943

Prime factors of 68943 are 3, 7, 67. Prime factorization of 68943 in exponential form is:

68943 = 3¹ × 7³ × 67¹

Step-2: Prime Factorization of 68958

Prime factors of 68958 are 2, 3, 1277. Prime factorization of 68958 in exponential form is:

68958 = 2¹ × 3³ × 1277¹

Step-3: Factors of 68943

List of positive integer factors of 68943 that divides 68943 without a remainder.

1, 3, 7, 21, 49, 67, 147, 201, 343, 469, 1029, 1407, 3283, 9849, 22981

Step-4: Factors of 68958

List of positive integer factors of 68958 that divides 68943 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1277, 2554, 3831, 7662, 11493, 22986, 34479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68943 and 68958. The biggest common factor number is the GCF number.
So the greatest common factor 68943 and 68958 is 3.

Also check out the Least Common Multiple of 68943 and 68958