What is the Greatest Common Factor of 28225 and 28236?

Greatest common factor (GCF) of 28225 and 28236 is 1.

GCF(28225,28236) = 1

We will now calculate the prime factors of 28225 and 28236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28225 and 28236.

How to find the GCF of 28225 and 28236?

We will first find the prime factorization of 28225 and 28236. After we will calculate the factors of 28225 and 28236 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 28236

Prime factors of 28236 are 2, 3, 13, 181. Prime factorization of 28236 in exponential form is:

28236 = 2² × 3¹ × 13¹ × 181¹

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 28236

List of positive integer factors of 28236 that divides 28225 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 181, 362, 543, 724, 1086, 2172, 2353, 4706, 7059, 9412, 14118

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28225 and 28236. The biggest common factor number is the GCF number.
So the greatest common factor 28225 and 28236 is 1.

Also check out the Least Common Multiple of 28225 and 28236