What is the Greatest Common Factor of 80100 and 80115?

Greatest common factor (GCF) of 80100 and 80115 is 15.

GCF(80100,80115) = 15

We will now calculate the prime factors of 80100 and 80115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80100 and 80115.

How to find the GCF of 80100 and 80115?

We will first find the prime factorization of 80100 and 80115. After we will calculate the factors of 80100 and 80115 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80115

Prime factors of 80115 are 3, 5, 7, 109. Prime factorization of 80115 in exponential form is:

80115 = 3¹ × 5¹ × 7² × 109¹

Step-3: Factors of 80100

List of positive integer factors of 80100 that divides 80100 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

Step-4: Factors of 80115

List of positive integer factors of 80115 that divides 80100 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 109, 147, 245, 327, 545, 735, 763, 1635, 2289, 3815, 5341, 11445, 16023, 26705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80100 and 80115. The biggest common factor number is the GCF number.
So the greatest common factor 80100 and 80115 is 15.

Also check out the Least Common Multiple of 80100 and 80115