What is the Greatest Common Factor of 79680 and 79695?

Greatest common factor (GCF) of 79680 and 79695 is 15.

GCF(79680,79695) = 15

We will now calculate the prime factors of 79680 and 79695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79680 and 79695.

How to find the GCF of 79680 and 79695?

We will first find the prime factorization of 79680 and 79695. After we will calculate the factors of 79680 and 79695 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 79695

Prime factors of 79695 are 3, 5, 7, 11, 23. Prime factorization of 79695 in exponential form is:

79695 = 3² × 5¹ × 7¹ × 11¹ × 23¹

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 79695

List of positive integer factors of 79695 that divides 79680 without a remainder.

1, 3, 5, 7, 9, 11, 15, 21, 23, 33, 35, 45, 55, 63, 69, 77, 99, 105, 115, 161, 165, 207, 231, 253, 315, 345, 385, 483, 495, 693, 759, 805, 1035, 1155, 1265, 1449, 1771, 2277, 2415, 3465, 3795, 5313, 7245, 8855, 11385, 15939, 26565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79680 and 79695. The biggest common factor number is the GCF number.
So the greatest common factor 79680 and 79695 is 15.

Also check out the Least Common Multiple of 79680 and 79695