What is the Greatest Common Factor of 82980 and 82994?

Greatest common factor (GCF) of 82980 and 82994 is 2.

GCF(82980,82994) = 2

We will now calculate the prime factors of 82980 and 82994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82980 and 82994.

How to find the GCF of 82980 and 82994?

We will first find the prime factorization of 82980 and 82994. After we will calculate the factors of 82980 and 82994 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 82994

Prime factors of 82994 are 2, 17, 2441. Prime factorization of 82994 in exponential form is:

82994 = 2¹ × 17¹ × 2441¹

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 82994

List of positive integer factors of 82994 that divides 82980 without a remainder.

1, 2, 17, 34, 2441, 4882, 41497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82980 and 82994. The biggest common factor number is the GCF number.
So the greatest common factor 82980 and 82994 is 2.

Also check out the Least Common Multiple of 82980 and 82994