What is the Greatest Common Factor of 28028 and 28035?

Greatest common factor (GCF) of 28028 and 28035 is 7.

GCF(28028,28035) = 7

We will now calculate the prime factors of 28028 and 28035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28028 and 28035.

How to find the GCF of 28028 and 28035?

We will first find the prime factorization of 28028 and 28035. After we will calculate the factors of 28028 and 28035 and find the biggest common factor number .

Step-1: Prime Factorization of 28028

Prime factors of 28028 are 2, 7, 11, 13. Prime factorization of 28028 in exponential form is:

28028 = 2² × 7² × 11¹ × 13¹

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 28028

List of positive integer factors of 28028 that divides 28028 without a remainder.

1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 49, 52, 77, 91, 98, 143, 154, 182, 196, 286, 308, 364, 539, 572, 637, 1001, 1078, 1274, 2002, 2156, 2548, 4004, 7007, 14014

Step-4: Factors of 28035

List of positive integer factors of 28035 that divides 28028 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 28028 and 28035. The biggest common factor number is the GCF number.
So the greatest common factor 28028 and 28035 is 7.

Also check out the Least Common Multiple of 28028 and 28035