What is the Greatest Common Factor of 82075 and 82088?

Greatest common factor (GCF) of 82075 and 82088 is 1.

GCF(82075,82088) = 1

We will now calculate the prime factors of 82075 and 82088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82075 and 82088.

How to find the GCF of 82075 and 82088?

We will first find the prime factorization of 82075 and 82088. After we will calculate the factors of 82075 and 82088 and find the biggest common factor number .

Step-1: Prime Factorization of 82075

Prime factors of 82075 are 5, 7, 67. Prime factorization of 82075 in exponential form is:

82075 = 5² × 7² × 67¹

Step-2: Prime Factorization of 82088

Prime factors of 82088 are 2, 31, 331. Prime factorization of 82088 in exponential form is:

82088 = 2³ × 31¹ × 331¹

Step-3: Factors of 82075

List of positive integer factors of 82075 that divides 82075 without a remainder.

1, 5, 7, 25, 35, 49, 67, 175, 245, 335, 469, 1225, 1675, 2345, 3283, 11725, 16415

Step-4: Factors of 82088

List of positive integer factors of 82088 that divides 82075 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248, 331, 662, 1324, 2648, 10261, 20522, 41044

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82075 and 82088. The biggest common factor number is the GCF number.
So the greatest common factor 82075 and 82088 is 1.

Also check out the Least Common Multiple of 82075 and 82088