What is the Greatest Common Factor of 56946 and 56958?

Greatest common factor (GCF) of 56946 and 56958 is 6.

GCF(56946,56958) = 6

We will now calculate the prime factors of 56946 and 56958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56946 and 56958.

How to find the GCF of 56946 and 56958?

We will first find the prime factorization of 56946 and 56958. After we will calculate the factors of 56946 and 56958 and find the biggest common factor number .

Step-1: Prime Factorization of 56946

Prime factors of 56946 are 2, 3, 9491. Prime factorization of 56946 in exponential form is:

56946 = 2¹ × 3¹ × 9491¹

Step-2: Prime Factorization of 56958

Prime factors of 56958 are 2, 3, 11, 863. Prime factorization of 56958 in exponential form is:

56958 = 2¹ × 3¹ × 11¹ × 863¹

Step-3: Factors of 56946

List of positive integer factors of 56946 that divides 56946 without a remainder.

1, 2, 3, 6, 9491, 18982, 28473

Step-4: Factors of 56958

List of positive integer factors of 56958 that divides 56946 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 863, 1726, 2589, 5178, 9493, 18986, 28479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56946 and 56958. The biggest common factor number is the GCF number.
So the greatest common factor 56946 and 56958 is 6.

Also check out the Least Common Multiple of 56946 and 56958