What is the Greatest Common Factor of 82998 and 83008?

Greatest common factor (GCF) of 82998 and 83008 is 2.

GCF(82998,83008) = 2

We will now calculate the prime factors of 82998 and 83008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82998 and 83008.

How to find the GCF of 82998 and 83008?

We will first find the prime factorization of 82998 and 83008. After we will calculate the factors of 82998 and 83008 and find the biggest common factor number .

Step-1: Prime Factorization of 82998

Prime factors of 82998 are 2, 3, 29, 53. Prime factorization of 82998 in exponential form is:

82998 = 2¹ × 3³ × 29¹ × 53¹

Step-2: Prime Factorization of 83008

Prime factors of 83008 are 2, 1297. Prime factorization of 83008 in exponential form is:

83008 = 2⁶ × 1297¹

Step-3: Factors of 82998

List of positive integer factors of 82998 that divides 82998 without a remainder.

1, 2, 3, 6, 9, 18, 27, 29, 53, 54, 58, 87, 106, 159, 174, 261, 318, 477, 522, 783, 954, 1431, 1537, 1566, 2862, 3074, 4611, 9222, 13833, 27666, 41499

Step-4: Factors of 83008

List of positive integer factors of 83008 that divides 82998 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1297, 2594, 5188, 10376, 20752, 41504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82998 and 83008. The biggest common factor number is the GCF number.
So the greatest common factor 82998 and 83008 is 2.

Also check out the Least Common Multiple of 82998 and 83008