What is the Greatest Common Factor of 80080 and 80100?

Greatest common factor (GCF) of 80080 and 80100 is 20.

GCF(80080,80100) = 20

We will now calculate the prime factors of 80080 and 80100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80080 and 80100.

How to find the GCF of 80080 and 80100?

We will first find the prime factorization of 80080 and 80100. After we will calculate the factors of 80080 and 80100 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 80100

Prime factors of 80100 are 2, 3, 5, 89. Prime factorization of 80100 in exponential form is:

80100 = 2² × 3² × 5² × 89¹

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 80100

List of positive integer factors of 80100 that divides 80080 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 89, 90, 100, 150, 178, 180, 225, 267, 300, 356, 445, 450, 534, 801, 890, 900, 1068, 1335, 1602, 1780, 2225, 2670, 3204, 4005, 4450, 5340, 6675, 8010, 8900, 13350, 16020, 20025, 26700, 40050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80080 and 80100. The biggest common factor number is the GCF number.
So the greatest common factor 80080 and 80100 is 20.

Also check out the Least Common Multiple of 80080 and 80100