What is the Greatest Common Factor of 28428 and 28435?

Greatest common factor (GCF) of 28428 and 28435 is 1.

GCF(28428,28435) = 1

We will now calculate the prime factors of 28428 and 28435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28428 and 28435.

How to find the GCF of 28428 and 28435?

We will first find the prime factorization of 28428 and 28435. After we will calculate the factors of 28428 and 28435 and find the biggest common factor number .

Step-1: Prime Factorization of 28428

Prime factors of 28428 are 2, 3, 23, 103. Prime factorization of 28428 in exponential form is:

28428 = 2² × 3¹ × 23¹ × 103¹

Step-2: Prime Factorization of 28435

Prime factors of 28435 are 5, 11, 47. Prime factorization of 28435 in exponential form is:

28435 = 5¹ × 11² × 47¹

Step-3: Factors of 28428

List of positive integer factors of 28428 that divides 28428 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 103, 138, 206, 276, 309, 412, 618, 1236, 2369, 4738, 7107, 9476, 14214

Step-4: Factors of 28435

List of positive integer factors of 28435 that divides 28428 without a remainder.

1, 5, 11, 47, 55, 121, 235, 517, 605, 2585, 5687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28428 and 28435. The biggest common factor number is the GCF number.
So the greatest common factor 28428 and 28435 is 1.

Also check out the Least Common Multiple of 28428 and 28435