What is the Greatest Common Factor of 82468 and 82488?

Greatest common factor (GCF) of 82468 and 82488 is 4.

GCF(82468,82488) = 4

We will now calculate the prime factors of 82468 and 82488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82468 and 82488.

How to find the GCF of 82468 and 82488?

We will first find the prime factorization of 82468 and 82488. After we will calculate the factors of 82468 and 82488 and find the biggest common factor number .

Step-1: Prime Factorization of 82468

Prime factors of 82468 are 2, 53, 389. Prime factorization of 82468 in exponential form is:

82468 = 2² × 53¹ × 389¹

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 82468

List of positive integer factors of 82468 that divides 82468 without a remainder.

1, 2, 4, 53, 106, 212, 389, 778, 1556, 20617, 41234

Step-4: Factors of 82488

List of positive integer factors of 82488 that divides 82468 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 82468 and 82488. The biggest common factor number is the GCF number.
So the greatest common factor 82468 and 82488 is 4.

Also check out the Least Common Multiple of 82468 and 82488