What is the Greatest Common Factor of 82798 and 82802?

Greatest common factor (GCF) of 82798 and 82802 is 2.

GCF(82798,82802) = 2

We will now calculate the prime factors of 82798 and 82802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82798 and 82802.

How to find the GCF of 82798 and 82802?

We will first find the prime factorization of 82798 and 82802. After we will calculate the factors of 82798 and 82802 and find the biggest common factor number .

Step-1: Prime Factorization of 82798

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

82798 = 2¹ × 41399¹

Step-2: Prime Factorization of 82802

Prime factors of 82802 are 2, 19, 2179. Prime factorization of 82802 in exponential form is:

82802 = 2¹ × 19¹ × 2179¹

Step-3: Factors of 82798

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

1, 2, 41399

Step-4: Factors of 82802

List of positive integer factors of 82802 that divides 82798 without a remainder.

1, 2, 19, 38, 2179, 4358, 41401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82798 and 82802. The biggest common factor number is the GCF number.
So the greatest common factor 82798 and 82802 is 2.

Also check out the Least Common Multiple of 82798 and 82802