What is the Greatest Common Factor of 82984 and 83002?

Greatest common factor (GCF) of 82984 and 83002 is 2.

GCF(82984,83002) = 2

We will now calculate the prime factors of 82984 and 83002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82984 and 83002.

How to find the GCF of 82984 and 83002?

We will first find the prime factorization of 82984 and 83002. After we will calculate the factors of 82984 and 83002 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 83002

Prime factors of 83002 are 2, 47, 883. Prime factorization of 83002 in exponential form is:

83002 = 2¹ × 47¹ × 883¹

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 83002

List of positive integer factors of 83002 that divides 82984 without a remainder.

1, 2, 47, 94, 883, 1766, 41501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82984 and 83002. The biggest common factor number is the GCF number.
So the greatest common factor 82984 and 83002 is 2.

Also check out the Least Common Multiple of 82984 and 83002