What is the Greatest Common Factor of 78582 and 78589?

Greatest common factor (GCF) of 78582 and 78589 is 7.

GCF(78582,78589) = 7

We will now calculate the prime factors of 78582 and 78589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78582 and 78589.

How to find the GCF of 78582 and 78589?

We will first find the prime factorization of 78582 and 78589. After we will calculate the factors of 78582 and 78589 and find the biggest common factor number .

Step-1: Prime Factorization of 78582

Prime factors of 78582 are 2, 3, 7, 1871. Prime factorization of 78582 in exponential form is:

78582 = 2¹ × 3¹ × 7¹ × 1871¹

Step-2: Prime Factorization of 78589

Prime factors of 78589 are 7, 103, 109. Prime factorization of 78589 in exponential form is:

78589 = 7¹ × 103¹ × 109¹

Step-3: Factors of 78582

List of positive integer factors of 78582 that divides 78582 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1871, 3742, 5613, 11226, 13097, 26194, 39291

Step-4: Factors of 78589

List of positive integer factors of 78589 that divides 78582 without a remainder.

1, 7, 103, 109, 721, 763, 11227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78582 and 78589. The biggest common factor number is the GCF number.
So the greatest common factor 78582 and 78589 is 7.

Also check out the Least Common Multiple of 78582 and 78589