What is the Greatest Common Factor of 82780 and 82798?

Greatest common factor (GCF) of 82780 and 82798 is 2.

GCF(82780,82798) = 2

We will now calculate the prime factors of 82780 and 82798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82780 and 82798.

How to find the GCF of 82780 and 82798?

We will first find the prime factorization of 82780 and 82798. After we will calculate the factors of 82780 and 82798 and find the biggest common factor number .

Step-1: Prime Factorization of 82780

Prime factors of 82780 are 2, 5, 4139. Prime factorization of 82780 in exponential form is:

82780 = 2² × 5¹ × 4139¹

Step-2: Prime Factorization of 82798

Prime factors of 82798 are 2, 41399. Prime factorization of 82798 in exponential form is:

82798 = 2¹ × 41399¹

Step-3: Factors of 82780

List of positive integer factors of 82780 that divides 82780 without a remainder.

1, 2, 4, 5, 10, 20, 4139, 8278, 16556, 20695, 41390

Step-4: Factors of 82798

List of positive integer factors of 82798 that divides 82780 without a remainder.

1, 2, 41399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82780 and 82798. The biggest common factor number is the GCF number.
So the greatest common factor 82780 and 82798 is 2.

Also check out the Least Common Multiple of 82780 and 82798