What is the Greatest Common Factor of 82642 and 82658?

Greatest common factor (GCF) of 82642 and 82658 is 2.

GCF(82642,82658) = 2

We will now calculate the prime factors of 82642 and 82658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82642 and 82658.

How to find the GCF of 82642 and 82658?

We will first find the prime factorization of 82642 and 82658. After we will calculate the factors of 82642 and 82658 and find the biggest common factor number .

Step-1: Prime Factorization of 82642

Prime factors of 82642 are 2, 7, 5903. Prime factorization of 82642 in exponential form is:

82642 = 2¹ × 7¹ × 5903¹

Step-2: Prime Factorization of 82658

Prime factors of 82658 are 2, 37, 1117. Prime factorization of 82658 in exponential form is:

82658 = 2¹ × 37¹ × 1117¹

Step-3: Factors of 82642

List of positive integer factors of 82642 that divides 82642 without a remainder.

1, 2, 7, 14, 5903, 11806, 41321

Step-4: Factors of 82658

List of positive integer factors of 82658 that divides 82642 without a remainder.

1, 2, 37, 74, 1117, 2234, 41329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82642 and 82658. The biggest common factor number is the GCF number.
So the greatest common factor 82642 and 82658 is 2.

Also check out the Least Common Multiple of 82642 and 82658