What is the Greatest Common Factor of 80080 and 80096?

Greatest common factor (GCF) of 80080 and 80096 is 16.

GCF(80080,80096) = 16

We will now calculate the prime factors of 80080 and 80096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80080 and 80096.

How to find the GCF of 80080 and 80096?

We will first find the prime factorization of 80080 and 80096. After we will calculate the factors of 80080 and 80096 and find the biggest common factor number .

Step-1: Prime Factorization of 80080

Prime factors of 80080 are 2, 5, 7, 11, 13. Prime factorization of 80080 in exponential form is:

80080 = 2⁴ × 5¹ × 7¹ × 11¹ × 13¹

Step-2: Prime Factorization of 80096

Prime factors of 80096 are 2, 2503. Prime factorization of 80096 in exponential form is:

80096 = 2⁵ × 2503¹

Step-3: Factors of 80080

List of positive integer factors of 80080 that divides 80080 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 20, 22, 26, 28, 35, 40, 44, 52, 55, 56, 65, 70, 77, 80, 88, 91, 104, 110, 112, 130, 140, 143, 154, 176, 182, 208, 220, 260, 280, 286, 308, 364, 385, 440, 455, 520, 560, 572, 616, 715, 728, 770, 880, 910, 1001, 1040, 1144, 1232, 1430, 1456, 1540, 1820, 2002, 2288, 2860, 3080, 3640, 4004, 5005, 5720, 6160, 7280, 8008, 10010, 11440, 16016, 20020, 40040

Step-4: Factors of 80096

List of positive integer factors of 80096 that divides 80080 without a remainder.

1, 2, 4, 8, 16, 32, 2503, 5006, 10012, 20024, 40048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80080 and 80096. The biggest common factor number is the GCF number.
So the greatest common factor 80080 and 80096 is 16.

Also check out the Least Common Multiple of 80080 and 80096