What is the Greatest Common Factor of 28242 and 28251?

Greatest common factor (GCF) of 28242 and 28251 is 9.

GCF(28242,28251) = 9

We will now calculate the prime factors of 28242 and 28251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28242 and 28251.

How to find the GCF of 28242 and 28251?

We will first find the prime factorization of 28242 and 28251. After we will calculate the factors of 28242 and 28251 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28251

Prime factors of 28251 are 3, 43, 73. Prime factorization of 28251 in exponential form is:

28251 = 3² × 43¹ × 73¹

Step-3: Factors of 28242

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

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

Step-4: Factors of 28251

List of positive integer factors of 28251 that divides 28242 without a remainder.

1, 3, 9, 43, 73, 129, 219, 387, 657, 3139, 9417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28242 and 28251. The biggest common factor number is the GCF number.
So the greatest common factor 28242 and 28251 is 9.

Also check out the Least Common Multiple of 28242 and 28251