What is the Greatest Common Factor of 28427 and 28435?

Greatest common factor (GCF) of 28427 and 28435 is 1.

GCF(28427,28435) = 1

We will now calculate the prime factors of 28427 and 28435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28427 and 28435.

How to find the GCF of 28427 and 28435?

We will first find the prime factorization of 28427 and 28435. After we will calculate the factors of 28427 and 28435 and find the biggest common factor number .

Step-1: Prime Factorization of 28427

Prime factors of 28427 are 7, 31, 131. Prime factorization of 28427 in exponential form is:

28427 = 7¹ × 31¹ × 131¹

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 28427

List of positive integer factors of 28427 that divides 28427 without a remainder.

1, 7, 31, 131, 217, 917, 4061

Step-4: Factors of 28435

List of positive integer factors of 28435 that divides 28427 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 28427 and 28435. The biggest common factor number is the GCF number.
So the greatest common factor 28427 and 28435 is 1.

Also check out the Least Common Multiple of 28427 and 28435