What is the Greatest Common Factor of 82984 and 82996?

Greatest common factor (GCF) of 82984 and 82996 is 4.

GCF(82984,82996) = 4

We will now calculate the prime factors of 82984 and 82996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82984 and 82996.

How to find the GCF of 82984 and 82996?

We will first find the prime factorization of 82984 and 82996. After we will calculate the factors of 82984 and 82996 and find the biggest common factor number .

Step-1: Prime Factorization of 82984

Prime factors of 82984 are 2, 11, 23, 41. Prime factorization of 82984 in exponential form is:

82984 = 2³ × 11¹ × 23¹ × 41¹

Step-2: Prime Factorization of 82996

Prime factors of 82996 are 2, 20749. Prime factorization of 82996 in exponential form is:

82996 = 2² × 20749¹

Step-3: Factors of 82984

List of positive integer factors of 82984 that divides 82984 without a remainder.

1, 2, 4, 8, 11, 22, 23, 41, 44, 46, 82, 88, 92, 164, 184, 253, 328, 451, 506, 902, 943, 1012, 1804, 1886, 2024, 3608, 3772, 7544, 10373, 20746, 41492

Step-4: Factors of 82996

List of positive integer factors of 82996 that divides 82984 without a remainder.

1, 2, 4, 20749, 41498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82984 and 82996. The biggest common factor number is the GCF number.
So the greatest common factor 82984 and 82996 is 4.

Also check out the Least Common Multiple of 82984 and 82996