What is the Greatest Common Factor of 79664 and 79682?

Greatest common factor (GCF) of 79664 and 79682 is 2.

GCF(79664,79682) = 2

We will now calculate the prime factors of 79664 and 79682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79664 and 79682.

How to find the GCF of 79664 and 79682?

We will first find the prime factorization of 79664 and 79682. After we will calculate the factors of 79664 and 79682 and find the biggest common factor number .

Step-1: Prime Factorization of 79664

Prime factors of 79664 are 2, 13, 383. Prime factorization of 79664 in exponential form is:

79664 = 2⁴ × 13¹ × 383¹

Step-2: Prime Factorization of 79682

Prime factors of 79682 are 2, 39841. Prime factorization of 79682 in exponential form is:

79682 = 2¹ × 39841¹

Step-3: Factors of 79664

List of positive integer factors of 79664 that divides 79664 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 383, 766, 1532, 3064, 4979, 6128, 9958, 19916, 39832

Step-4: Factors of 79682

List of positive integer factors of 79682 that divides 79664 without a remainder.

1, 2, 39841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79664 and 79682. The biggest common factor number is the GCF number.
So the greatest common factor 79664 and 79682 is 2.

Also check out the Least Common Multiple of 79664 and 79682