What is the Greatest Common Factor of 81640 and 81658?

Greatest common factor (GCF) of 81640 and 81658 is 2.

GCF(81640,81658) = 2

We will now calculate the prime factors of 81640 and 81658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81640 and 81658.

How to find the GCF of 81640 and 81658?

We will first find the prime factorization of 81640 and 81658. After we will calculate the factors of 81640 and 81658 and find the biggest common factor number .

Step-1: Prime Factorization of 81640

Prime factors of 81640 are 2, 5, 13, 157. Prime factorization of 81640 in exponential form is:

81640 = 2³ × 5¹ × 13¹ × 157¹

Step-2: Prime Factorization of 81658

Prime factors of 81658 are 2, 40829. Prime factorization of 81658 in exponential form is:

81658 = 2¹ × 40829¹

Step-3: Factors of 81640

List of positive integer factors of 81640 that divides 81640 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 157, 260, 314, 520, 628, 785, 1256, 1570, 2041, 3140, 4082, 6280, 8164, 10205, 16328, 20410, 40820

Step-4: Factors of 81658

List of positive integer factors of 81658 that divides 81640 without a remainder.

1, 2, 40829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81640 and 81658. The biggest common factor number is the GCF number.
So the greatest common factor 81640 and 81658 is 2.

Also check out the Least Common Multiple of 81640 and 81658