What is the Greatest Common Factor of 82475 and 82488?

Greatest common factor (GCF) of 82475 and 82488 is 1.

GCF(82475,82488) = 1

We will now calculate the prime factors of 82475 and 82488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82475 and 82488.

How to find the GCF of 82475 and 82488?

We will first find the prime factorization of 82475 and 82488. After we will calculate the factors of 82475 and 82488 and find the biggest common factor number .

Step-1: Prime Factorization of 82475

Prime factors of 82475 are 5, 3299. Prime factorization of 82475 in exponential form is:

82475 = 5² × 3299¹

Step-2: Prime Factorization of 82488

Prime factors of 82488 are 2, 3, 7, 491. Prime factorization of 82488 in exponential form is:

82488 = 2³ × 3¹ × 7¹ × 491¹

Step-3: Factors of 82475

List of positive integer factors of 82475 that divides 82475 without a remainder.

1, 5, 25, 3299, 16495

Step-4: Factors of 82488

List of positive integer factors of 82488 that divides 82475 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 491, 982, 1473, 1964, 2946, 3437, 3928, 5892, 6874, 10311, 11784, 13748, 20622, 27496, 41244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82475 and 82488. The biggest common factor number is the GCF number.
So the greatest common factor 82475 and 82488 is 1.

Also check out the Least Common Multiple of 82475 and 82488