What is the Greatest Common Factor of 79664 and 79672?

Greatest common factor (GCF) of 79664 and 79672 is 8.

GCF(79664,79672) = 8

We will now calculate the prime factors of 79664 and 79672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79664 and 79672.

How to find the GCF of 79664 and 79672?

We will first find the prime factorization of 79664 and 79672. After we will calculate the factors of 79664 and 79672 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 79672

Prime factors of 79672 are 2, 23, 433. Prime factorization of 79672 in exponential form is:

79672 = 2³ × 23¹ × 433¹

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 79672

List of positive integer factors of 79672 that divides 79664 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 433, 866, 1732, 3464, 9959, 19918, 39836

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79664 and 79672. The biggest common factor number is the GCF number.
So the greatest common factor 79664 and 79672 is 8.

Also check out the Least Common Multiple of 79664 and 79672