What is the Greatest Common Factor of 81997 and 82002?

Greatest common factor (GCF) of 81997 and 82002 is 1.

GCF(81997,82002) = 1

We will now calculate the prime factors of 81997 and 82002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81997 and 82002.

How to find the GCF of 81997 and 82002?

We will first find the prime factorization of 81997 and 82002. After we will calculate the factors of 81997 and 82002 and find the biggest common factor number .

Step-1: Prime Factorization of 81997

Prime factors of 81997 are 167, 491. Prime factorization of 81997 in exponential form is:

81997 = 167¹ × 491¹

Step-2: 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-3: Factors of 81997

List of positive integer factors of 81997 that divides 81997 without a remainder.

1, 167, 491

Step-4: Factors of 82002

List of positive integer factors of 82002 that divides 81997 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81997 and 82002. The biggest common factor number is the GCF number.
So the greatest common factor 81997 and 82002 is 1.

Also check out the Least Common Multiple of 81997 and 82002