What is the Greatest Common Factor of 79104 and 79108?

Greatest common factor (GCF) of 79104 and 79108 is 4.

GCF(79104,79108) = 4

We will now calculate the prime factors of 79104 and 79108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79104 and 79108.

How to find the GCF of 79104 and 79108?

We will first find the prime factorization of 79104 and 79108. After we will calculate the factors of 79104 and 79108 and find the biggest common factor number .

Step-1: Prime Factorization of 79104

Prime factors of 79104 are 2, 3, 103. Prime factorization of 79104 in exponential form is:

79104 = 2⁸ × 3¹ × 103¹

Step-2: Prime Factorization of 79108

Prime factors of 79108 are 2, 19777. Prime factorization of 79108 in exponential form is:

79108 = 2² × 19777¹

Step-3: Factors of 79104

List of positive integer factors of 79104 that divides 79104 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 103, 128, 192, 206, 256, 309, 384, 412, 618, 768, 824, 1236, 1648, 2472, 3296, 4944, 6592, 9888, 13184, 19776, 26368, 39552

Step-4: Factors of 79108

List of positive integer factors of 79108 that divides 79104 without a remainder.

1, 2, 4, 19777, 39554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79104 and 79108. The biggest common factor number is the GCF number.
So the greatest common factor 79104 and 79108 is 4.

Also check out the Least Common Multiple of 79104 and 79108