What is the Greatest Common Factor of 82002 and 82006?

Greatest common factor (GCF) of 82002 and 82006 is 2.

GCF(82002,82006) = 2

We will now calculate the prime factors of 82002 and 82006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82002 and 82006.

How to find the GCF of 82002 and 82006?

We will first find the prime factorization of 82002 and 82006. After we will calculate the factors of 82002 and 82006 and find the biggest common factor number .

Step-1: Prime Factorization of 82002

Prime factors of 82002 are 2, 3, 79, 173. Prime factorization of 82002 in exponential form is:

82002 = 2¹ × 3¹ × 79¹ × 173¹

Step-2: Prime Factorization of 82006

Prime factors of 82006 are 2, 131, 313. Prime factorization of 82006 in exponential form is:

82006 = 2¹ × 131¹ × 313¹

Step-3: Factors of 82002

List of positive integer factors of 82002 that divides 82002 without a remainder.

1, 2, 3, 6, 79, 158, 173, 237, 346, 474, 519, 1038, 13667, 27334, 41001

Step-4: Factors of 82006

List of positive integer factors of 82006 that divides 82002 without a remainder.

1, 2, 131, 262, 313, 626, 41003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82002 and 82006. The biggest common factor number is the GCF number.
So the greatest common factor 82002 and 82006 is 2.

Also check out the Least Common Multiple of 82002 and 82006