What is the Greatest Common Factor of 28020 and 28035?

Greatest common factor (GCF) of 28020 and 28035 is 15.

GCF(28020,28035) = 15

We will now calculate the prime factors of 28020 and 28035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28020 and 28035.

How to find the GCF of 28020 and 28035?

We will first find the prime factorization of 28020 and 28035. After we will calculate the factors of 28020 and 28035 and find the biggest common factor number .

Step-1: Prime Factorization of 28020

Prime factors of 28020 are 2, 3, 5, 467. Prime factorization of 28020 in exponential form is:

28020 = 2² × 3¹ × 5¹ × 467¹

Step-2: 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-3: Factors of 28020

List of positive integer factors of 28020 that divides 28020 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 467, 934, 1401, 1868, 2335, 2802, 4670, 5604, 7005, 9340, 14010

Step-4: Factors of 28035

List of positive integer factors of 28035 that divides 28020 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28020 and 28035. The biggest common factor number is the GCF number.
So the greatest common factor 28020 and 28035 is 15.

Also check out the Least Common Multiple of 28020 and 28035