What is the Greatest Common Factor of 28225 and 28242?

Greatest common factor (GCF) of 28225 and 28242 is 1.

GCF(28225,28242) = 1

We will now calculate the prime factors of 28225 and 28242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28225 and 28242.

How to find the GCF of 28225 and 28242?

We will first find the prime factorization of 28225 and 28242. After we will calculate the factors of 28225 and 28242 and find the biggest common factor number .

Step-1: Prime Factorization of 28225

Prime factors of 28225 are 5, 1129. Prime factorization of 28225 in exponential form is:

28225 = 5² × 1129¹

Step-2: Prime Factorization of 28242

Prime factors of 28242 are 2, 3, 523. Prime factorization of 28242 in exponential form is:

28242 = 2¹ × 3³ × 523¹

Step-3: Factors of 28225

List of positive integer factors of 28225 that divides 28225 without a remainder.

1, 5, 25, 1129, 5645

Step-4: Factors of 28242

List of positive integer factors of 28242 that divides 28225 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 523, 1046, 1569, 3138, 4707, 9414, 14121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28225 and 28242. The biggest common factor number is the GCF number.
So the greatest common factor 28225 and 28242 is 1.

Also check out the Least Common Multiple of 28225 and 28242