What is the Greatest Common Factor of 28185 and 28196?

Greatest common factor (GCF) of 28185 and 28196 is 1.

GCF(28185,28196) = 1

We will now calculate the prime factors of 28185 and 28196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28185 and 28196.

How to find the GCF of 28185 and 28196?

We will first find the prime factorization of 28185 and 28196. After we will calculate the factors of 28185 and 28196 and find the biggest common factor number .

Step-1: Prime Factorization of 28185

Prime factors of 28185 are 3, 5, 1879. Prime factorization of 28185 in exponential form is:

28185 = 3¹ × 5¹ × 1879¹

Step-2: Prime Factorization of 28196

Prime factors of 28196 are 2, 7, 19, 53. Prime factorization of 28196 in exponential form is:

28196 = 2² × 7¹ × 19¹ × 53¹

Step-3: Factors of 28185

List of positive integer factors of 28185 that divides 28185 without a remainder.

1, 3, 5, 15, 1879, 5637, 9395

Step-4: Factors of 28196

List of positive integer factors of 28196 that divides 28185 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 53, 76, 106, 133, 212, 266, 371, 532, 742, 1007, 1484, 2014, 4028, 7049, 14098

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28185 and 28196. The biggest common factor number is the GCF number.
So the greatest common factor 28185 and 28196 is 1.

Also check out the Least Common Multiple of 28185 and 28196