What is the Greatest Common Factor of 79104 and 79120?

Greatest common factor (GCF) of 79104 and 79120 is 16.

GCF(79104,79120) = 16

We will now calculate the prime factors of 79104 and 79120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79104 and 79120.

How to find the GCF of 79104 and 79120?

We will first find the prime factorization of 79104 and 79120. After we will calculate the factors of 79104 and 79120 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 79120

Prime factors of 79120 are 2, 5, 23, 43. Prime factorization of 79120 in exponential form is:

79120 = 2⁴ × 5¹ × 23¹ × 43¹

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 79120

List of positive integer factors of 79120 that divides 79104 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 43, 46, 80, 86, 92, 115, 172, 184, 215, 230, 344, 368, 430, 460, 688, 860, 920, 989, 1720, 1840, 1978, 3440, 3956, 4945, 7912, 9890, 15824, 19780, 39560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79104 and 79120. The biggest common factor number is the GCF number.
So the greatest common factor 79104 and 79120 is 16.

Also check out the Least Common Multiple of 79104 and 79120