What is the Greatest Common Factor of 56782 and 56789?

Greatest common factor (GCF) of 56782 and 56789 is 1.

GCF(56782,56789) = 1

We will now calculate the prime factors of 56782 and 56789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56782 and 56789.

How to find the GCF of 56782 and 56789?

We will first find the prime factorization of 56782 and 56789. After we will calculate the factors of 56782 and 56789 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 56789

Prime factors of 56789 are 109, 521. Prime factorization of 56789 in exponential form is:

56789 = 109¹ × 521¹

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 56789

List of positive integer factors of 56789 that divides 56782 without a remainder.

1, 109, 521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56782 and 56789. The biggest common factor number is the GCF number.
So the greatest common factor 56782 and 56789 is 1.

Also check out the Least Common Multiple of 56782 and 56789