What is the Greatest Common Factor of 82002 and 82010?

Greatest common factor (GCF) of 82002 and 82010 is 2.

GCF(82002,82010) = 2

We will now calculate the prime factors of 82002 and 82010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82002 and 82010.

How to find the GCF of 82002 and 82010?

We will first find the prime factorization of 82002 and 82010. After we will calculate the factors of 82002 and 82010 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 82010

Prime factors of 82010 are 2, 5, 59, 139. Prime factorization of 82010 in exponential form is:

82010 = 2¹ × 5¹ × 59¹ × 139¹

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 82010

List of positive integer factors of 82010 that divides 82002 without a remainder.

1, 2, 5, 10, 59, 118, 139, 278, 295, 590, 695, 1390, 8201, 16402, 41005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82002 and 82010. The biggest common factor number is the GCF number.
So the greatest common factor 82002 and 82010 is 2.

Also check out the Least Common Multiple of 82002 and 82010