What is the Greatest Common Factor of 82565 and 82574?

Greatest common factor (GCF) of 82565 and 82574 is 1.

GCF(82565,82574) = 1

We will now calculate the prime factors of 82565 and 82574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82565 and 82574.

How to find the GCF of 82565 and 82574?

We will first find the prime factorization of 82565 and 82574. After we will calculate the factors of 82565 and 82574 and find the biggest common factor number .

Step-1: Prime Factorization of 82565

Prime factors of 82565 are 5, 7, 337. Prime factorization of 82565 in exponential form is:

82565 = 5¹ × 7² × 337¹

Step-2: Prime Factorization of 82574

Prime factors of 82574 are 2, 19, 41, 53. Prime factorization of 82574 in exponential form is:

82574 = 2¹ × 19¹ × 41¹ × 53¹

Step-3: Factors of 82565

List of positive integer factors of 82565 that divides 82565 without a remainder.

1, 5, 7, 35, 49, 245, 337, 1685, 2359, 11795, 16513

Step-4: Factors of 82574

List of positive integer factors of 82574 that divides 82565 without a remainder.

1, 2, 19, 38, 41, 53, 82, 106, 779, 1007, 1558, 2014, 2173, 4346, 41287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82565 and 82574. The biggest common factor number is the GCF number.
So the greatest common factor 82565 and 82574 is 1.

Also check out the Least Common Multiple of 82565 and 82574