What is the Greatest Common Factor of 80075 and 80080?

Greatest common factor (GCF) of 80075 and 80080 is 5.

GCF(80075,80080) = 5

We will now calculate the prime factors of 80075 and 80080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80075 and 80080.

How to find the GCF of 80075 and 80080?

We will first find the prime factorization of 80075 and 80080. After we will calculate the factors of 80075 and 80080 and find the biggest common factor number .

Step-1: Prime Factorization of 80075

Prime factors of 80075 are 5, 3203. Prime factorization of 80075 in exponential form is:

80075 = 5² × 3203¹

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 80075

List of positive integer factors of 80075 that divides 80075 without a remainder.

1, 5, 25, 3203, 16015

Step-4: Factors of 80080

List of positive integer factors of 80080 that divides 80075 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 80075 and 80080. The biggest common factor number is the GCF number.
So the greatest common factor 80075 and 80080 is 5.

Also check out the Least Common Multiple of 80075 and 80080