What is the Greatest Common Factor of 28015 and 28035?

Greatest common factor (GCF) of 28015 and 28035 is 5.

GCF(28015,28035) = 5

We will now calculate the prime factors of 28015 and 28035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28015 and 28035.

How to find the GCF of 28015 and 28035?

We will first find the prime factorization of 28015 and 28035. After we will calculate the factors of 28015 and 28035 and find the biggest common factor number .

Step-1: Prime Factorization of 28015

Prime factors of 28015 are 5, 13, 431. Prime factorization of 28015 in exponential form is:

28015 = 5¹ × 13¹ × 431¹

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 28015

List of positive integer factors of 28015 that divides 28015 without a remainder.

1, 5, 13, 65, 431, 2155, 5603

Step-4: Factors of 28035

List of positive integer factors of 28035 that divides 28015 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 28015 and 28035. The biggest common factor number is the GCF number.
So the greatest common factor 28015 and 28035 is 5.

Also check out the Least Common Multiple of 28015 and 28035