What is the Greatest Common Factor of 56958 and 56972?

Greatest common factor (GCF) of 56958 and 56972 is 2.

GCF(56958,56972) = 2

We will now calculate the prime factors of 56958 and 56972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56958 and 56972.

How to find the GCF of 56958 and 56972?

We will first find the prime factorization of 56958 and 56972. After we will calculate the factors of 56958 and 56972 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56972

Prime factors of 56972 are 2, 14243. Prime factorization of 56972 in exponential form is:

56972 = 2² × 14243¹

Step-3: Factors of 56958

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

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

Step-4: Factors of 56972

List of positive integer factors of 56972 that divides 56958 without a remainder.

1, 2, 4, 14243, 28486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56958 and 56972. The biggest common factor number is the GCF number.
So the greatest common factor 56958 and 56972 is 2.

Also check out the Least Common Multiple of 56958 and 56972