What is the Greatest Common Factor of 79584 and 79604?

Greatest common factor (GCF) of 79584 and 79604 is 4.

GCF(79584,79604) = 4

We will now calculate the prime factors of 79584 and 79604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79584 and 79604.

How to find the GCF of 79584 and 79604?

We will first find the prime factorization of 79584 and 79604. After we will calculate the factors of 79584 and 79604 and find the biggest common factor number .

Step-1: Prime Factorization of 79584

Prime factors of 79584 are 2, 3, 829. Prime factorization of 79584 in exponential form is:

79584 = 2⁵ × 3¹ × 829¹

Step-2: Prime Factorization of 79604

Prime factors of 79604 are 2, 7, 2843. Prime factorization of 79604 in exponential form is:

79604 = 2² × 7¹ × 2843¹

Step-3: Factors of 79584

List of positive integer factors of 79584 that divides 79584 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 829, 1658, 2487, 3316, 4974, 6632, 9948, 13264, 19896, 26528, 39792

Step-4: Factors of 79604

List of positive integer factors of 79604 that divides 79584 without a remainder.

1, 2, 4, 7, 14, 28, 2843, 5686, 11372, 19901, 39802

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79584 and 79604. The biggest common factor number is the GCF number.
So the greatest common factor 79584 and 79604 is 4.

Also check out the Least Common Multiple of 79584 and 79604