What is the Greatest Common Factor of 82980 and 82998?

Greatest common factor (GCF) of 82980 and 82998 is 18.

GCF(82980,82998) = 18

We will now calculate the prime factors of 82980 and 82998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82980 and 82998.

How to find the GCF of 82980 and 82998?

We will first find the prime factorization of 82980 and 82998. After we will calculate the factors of 82980 and 82998 and find the biggest common factor number .

Step-1: Prime Factorization of 82980

Prime factors of 82980 are 2, 3, 5, 461. Prime factorization of 82980 in exponential form is:

82980 = 2² × 3² × 5¹ × 461¹

Step-2: 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-3: Factors of 82980

List of positive integer factors of 82980 that divides 82980 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 461, 922, 1383, 1844, 2305, 2766, 4149, 4610, 5532, 6915, 8298, 9220, 13830, 16596, 20745, 27660, 41490

Step-4: Factors of 82998

List of positive integer factors of 82998 that divides 82980 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82980 and 82998. The biggest common factor number is the GCF number.
So the greatest common factor 82980 and 82998 is 18.

Also check out the Least Common Multiple of 82980 and 82998