What is the Greatest Common Factor of 80073 and 80080?

Greatest common factor (GCF) of 80073 and 80080 is 7.

GCF(80073,80080) = 7

We will now calculate the prime factors of 80073 and 80080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80073 and 80080.

How to find the GCF of 80073 and 80080?

We will first find the prime factorization of 80073 and 80080. After we will calculate the factors of 80073 and 80080 and find the biggest common factor number .

Step-1: Prime Factorization of 80073

Prime factors of 80073 are 3, 7, 31, 41. Prime factorization of 80073 in exponential form is:

80073 = 3² × 7¹ × 31¹ × 41¹

Step-2: 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-3: Factors of 80073

List of positive integer factors of 80073 that divides 80073 without a remainder.

1, 3, 7, 9, 21, 31, 41, 63, 93, 123, 217, 279, 287, 369, 651, 861, 1271, 1953, 2583, 3813, 8897, 11439, 26691

Step-4: Factors of 80080

List of positive integer factors of 80080 that divides 80073 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80073 and 80080. The biggest common factor number is the GCF number.
So the greatest common factor 80073 and 80080 is 7.

Also check out the Least Common Multiple of 80073 and 80080