What is the Greatest Common Factor of 79680 and 79691?

Greatest common factor (GCF) of 79680 and 79691 is 1.

GCF(79680,79691) = 1

We will now calculate the prime factors of 79680 and 79691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79680 and 79691.

How to find the GCF of 79680 and 79691?

We will first find the prime factorization of 79680 and 79691. After we will calculate the factors of 79680 and 79691 and find the biggest common factor number .

Step-1: Prime Factorization of 79680

Prime factors of 79680 are 2, 3, 5, 83. Prime factorization of 79680 in exponential form is:

79680 = 2⁶ × 3¹ × 5¹ × 83¹

Step-2: Prime Factorization of 79691

Prime factors of 79691 are 79691. Prime factorization of 79691 in exponential form is:

79691 = 79691¹

Step-3: Factors of 79680

List of positive integer factors of 79680 that divides 79680 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 83, 96, 120, 160, 166, 192, 240, 249, 320, 332, 415, 480, 498, 664, 830, 960, 996, 1245, 1328, 1660, 1992, 2490, 2656, 3320, 3984, 4980, 5312, 6640, 7968, 9960, 13280, 15936, 19920, 26560, 39840

Step-4: Factors of 79691

List of positive integer factors of 79691 that divides 79680 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79680 and 79691. The biggest common factor number is the GCF number.
So the greatest common factor 79680 and 79691 is 1.

Also check out the Least Common Multiple of 79680 and 79691