What is the Greatest Common Factor of 80088 and 80100?

Greatest common factor (GCF) of 80088 and 80100 is 12.

GCF(80088,80100) = 12

We will now calculate the prime factors of 80088 and 80100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80088 and 80100.

How to find the GCF of 80088 and 80100?

We will first find the prime factorization of 80088 and 80100. After we will calculate the factors of 80088 and 80100 and find the biggest common factor number .

Step-1: Prime Factorization of 80088

Prime factors of 80088 are 2, 3, 47, 71. Prime factorization of 80088 in exponential form is:

80088 = 2³ × 3¹ × 47¹ × 71¹

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 80088

List of positive integer factors of 80088 that divides 80088 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 47, 71, 94, 141, 142, 188, 213, 282, 284, 376, 426, 564, 568, 852, 1128, 1704, 3337, 6674, 10011, 13348, 20022, 26696, 40044

Step-4: Factors of 80100

List of positive integer factors of 80100 that divides 80088 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 80088 and 80100. The biggest common factor number is the GCF number.
So the greatest common factor 80088 and 80100 is 12.

Also check out the Least Common Multiple of 80088 and 80100