What is the Greatest Common Factor of 82109 and 82120?

Greatest common factor (GCF) of 82109 and 82120 is 1.

GCF(82109,82120) = 1

We will now calculate the prime factors of 82109 and 82120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82109 and 82120.

How to find the GCF of 82109 and 82120?

We will first find the prime factorization of 82109 and 82120. After we will calculate the factors of 82109 and 82120 and find the biggest common factor number .

Step-1: Prime Factorization of 82109

Prime factors of 82109 are 47, 1747. Prime factorization of 82109 in exponential form is:

82109 = 47¹ × 1747¹

Step-2: Prime Factorization of 82120

Prime factors of 82120 are 2, 5, 2053. Prime factorization of 82120 in exponential form is:

82120 = 2³ × 5¹ × 2053¹

Step-3: Factors of 82109

List of positive integer factors of 82109 that divides 82109 without a remainder.

1, 47, 1747

Step-4: Factors of 82120

List of positive integer factors of 82120 that divides 82109 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2053, 4106, 8212, 10265, 16424, 20530, 41060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82109 and 82120. The biggest common factor number is the GCF number.
So the greatest common factor 82109 and 82120 is 1.

Also check out the Least Common Multiple of 82109 and 82120