What is the Greatest Common Factor of 28025 and 28031?

Greatest common factor (GCF) of 28025 and 28031 is 1.

GCF(28025,28031) = 1

We will now calculate the prime factors of 28025 and 28031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28025 and 28031.

How to find the GCF of 28025 and 28031?

We will first find the prime factorization of 28025 and 28031. After we will calculate the factors of 28025 and 28031 and find the biggest common factor number .

Step-1: Prime Factorization of 28025

Prime factors of 28025 are 5, 19, 59. Prime factorization of 28025 in exponential form is:

28025 = 5² × 19¹ × 59¹

Step-2: Prime Factorization of 28031

Prime factors of 28031 are 28031. Prime factorization of 28031 in exponential form is:

28031 = 28031¹

Step-3: Factors of 28025

List of positive integer factors of 28025 that divides 28025 without a remainder.

1, 5, 19, 25, 59, 95, 295, 475, 1121, 1475, 5605

Step-4: Factors of 28031

List of positive integer factors of 28031 that divides 28025 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28025 and 28031. The biggest common factor number is the GCF number.
So the greatest common factor 28025 and 28031 is 1.

Also check out the Least Common Multiple of 28025 and 28031