What is the Greatest Common Factor of 56782 and 56793?

Greatest common factor (GCF) of 56782 and 56793 is 11.

GCF(56782,56793) = 11

We will now calculate the prime factors of 56782 and 56793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56782 and 56793.

How to find the GCF of 56782 and 56793?

We will first find the prime factorization of 56782 and 56793. After we will calculate the factors of 56782 and 56793 and find the biggest common factor number .

Step-1: Prime Factorization of 56782

Prime factors of 56782 are 2, 11, 29, 89. Prime factorization of 56782 in exponential form is:

56782 = 2¹ × 11¹ × 29¹ × 89¹

Step-2: Prime Factorization of 56793

Prime factors of 56793 are 3, 11, 1721. Prime factorization of 56793 in exponential form is:

56793 = 3¹ × 11¹ × 1721¹

Step-3: Factors of 56782

List of positive integer factors of 56782 that divides 56782 without a remainder.

1, 2, 11, 22, 29, 58, 89, 178, 319, 638, 979, 1958, 2581, 5162, 28391

Step-4: Factors of 56793

List of positive integer factors of 56793 that divides 56782 without a remainder.

1, 3, 11, 33, 1721, 5163, 18931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56782 and 56793. The biggest common factor number is the GCF number.
So the greatest common factor 56782 and 56793 is 11.

Also check out the Least Common Multiple of 56782 and 56793