What is the Greatest Common Factor of 28035 and 28050?

Greatest common factor (GCF) of 28035 and 28050 is 15.

GCF(28035,28050) = 15

We will now calculate the prime factors of 28035 and 28050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28035 and 28050.

How to find the GCF of 28035 and 28050?

We will first find the prime factorization of 28035 and 28050. After we will calculate the factors of 28035 and 28050 and find the biggest common factor number .

Step-1: Prime Factorization of 28035

Prime factors of 28035 are 3, 5, 7, 89. Prime factorization of 28035 in exponential form is:

28035 = 3² × 5¹ × 7¹ × 89¹

Step-2: Prime Factorization of 28050

Prime factors of 28050 are 2, 3, 5, 11, 17. Prime factorization of 28050 in exponential form is:

28050 = 2¹ × 3¹ × 5² × 11¹ × 17¹

Step-3: Factors of 28035

List of positive integer factors of 28035 that divides 28035 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 89, 105, 267, 315, 445, 623, 801, 1335, 1869, 3115, 4005, 5607, 9345

Step-4: Factors of 28050

List of positive integer factors of 28050 that divides 28035 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 17, 22, 25, 30, 33, 34, 50, 51, 55, 66, 75, 85, 102, 110, 150, 165, 170, 187, 255, 275, 330, 374, 425, 510, 550, 561, 825, 850, 935, 1122, 1275, 1650, 1870, 2550, 2805, 4675, 5610, 9350, 14025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28035 and 28050. The biggest common factor number is the GCF number.
So the greatest common factor 28035 and 28050 is 15.

Also check out the Least Common Multiple of 28035 and 28050