What is the Greatest Common Factor of 82608 and 82624?

Greatest common factor (GCF) of 82608 and 82624 is 16.

GCF(82608,82624) = 16

We will now calculate the prime factors of 82608 and 82624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82608 and 82624.

How to find the GCF of 82608 and 82624?

We will first find the prime factorization of 82608 and 82624. After we will calculate the factors of 82608 and 82624 and find the biggest common factor number .

Step-1: Prime Factorization of 82608

Prime factors of 82608 are 2, 3, 1721. Prime factorization of 82608 in exponential form is:

82608 = 2⁴ × 3¹ × 1721¹

Step-2: Prime Factorization of 82624

Prime factors of 82624 are 2, 1291. Prime factorization of 82624 in exponential form is:

82624 = 2⁶ × 1291¹

Step-3: Factors of 82608

List of positive integer factors of 82608 that divides 82608 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1721, 3442, 5163, 6884, 10326, 13768, 20652, 27536, 41304

Step-4: Factors of 82624

List of positive integer factors of 82624 that divides 82608 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1291, 2582, 5164, 10328, 20656, 41312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82608 and 82624. The biggest common factor number is the GCF number.
So the greatest common factor 82608 and 82624 is 16.

Also check out the Least Common Multiple of 82608 and 82624