What is the Greatest Common Factor of 79665 and 79680?

Greatest common factor (GCF) of 79665 and 79680 is 15.

GCF(79665,79680) = 15

We will now calculate the prime factors of 79665 and 79680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79665 and 79680.

How to find the GCF of 79665 and 79680?

We will first find the prime factorization of 79665 and 79680. After we will calculate the factors of 79665 and 79680 and find the biggest common factor number .

Step-1: Prime Factorization of 79665

Prime factors of 79665 are 3, 5, 47, 113. Prime factorization of 79665 in exponential form is:

79665 = 3¹ × 5¹ × 47¹ × 113¹

Step-2: 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-3: Factors of 79665

List of positive integer factors of 79665 that divides 79665 without a remainder.

1, 3, 5, 15, 47, 113, 141, 235, 339, 565, 705, 1695, 5311, 15933, 26555

Step-4: Factors of 79680

List of positive integer factors of 79680 that divides 79665 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79665 and 79680. The biggest common factor number is the GCF number.
So the greatest common factor 79665 and 79680 is 15.

Also check out the Least Common Multiple of 79665 and 79680