What is the Greatest Common Factor of 82678 and 82682?

Greatest common factor (GCF) of 82678 and 82682 is 2.

GCF(82678,82682) = 2

We will now calculate the prime factors of 82678 and 82682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82678 and 82682.

How to find the GCF of 82678 and 82682?

We will first find the prime factorization of 82678 and 82682. After we will calculate the factors of 82678 and 82682 and find the biggest common factor number .

Step-1: Prime Factorization of 82678

Prime factors of 82678 are 2, 67, 617. Prime factorization of 82678 in exponential form is:

82678 = 2¹ × 67¹ × 617¹

Step-2: Prime Factorization of 82682

Prime factors of 82682 are 2, 41341. Prime factorization of 82682 in exponential form is:

82682 = 2¹ × 41341¹

Step-3: Factors of 82678

List of positive integer factors of 82678 that divides 82678 without a remainder.

1, 2, 67, 134, 617, 1234, 41339

Step-4: Factors of 82682

List of positive integer factors of 82682 that divides 82678 without a remainder.

1, 2, 41341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82678 and 82682. The biggest common factor number is the GCF number.
So the greatest common factor 82678 and 82682 is 2.

Also check out the Least Common Multiple of 82678 and 82682