What is the Greatest Common Factor of 28095 and 28106?

Greatest common factor (GCF) of 28095 and 28106 is 1.

GCF(28095,28106) = 1

We will now calculate the prime factors of 28095 and 28106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28095 and 28106.

How to find the GCF of 28095 and 28106?

We will first find the prime factorization of 28095 and 28106. After we will calculate the factors of 28095 and 28106 and find the biggest common factor number .

Step-1: Prime Factorization of 28095

Prime factors of 28095 are 3, 5, 1873. Prime factorization of 28095 in exponential form is:

28095 = 3¹ × 5¹ × 1873¹

Step-2: Prime Factorization of 28106

Prime factors of 28106 are 2, 13, 23, 47. Prime factorization of 28106 in exponential form is:

28106 = 2¹ × 13¹ × 23¹ × 47¹

Step-3: Factors of 28095

List of positive integer factors of 28095 that divides 28095 without a remainder.

1, 3, 5, 15, 1873, 5619, 9365

Step-4: Factors of 28106

List of positive integer factors of 28106 that divides 28095 without a remainder.

1, 2, 13, 23, 26, 46, 47, 94, 299, 598, 611, 1081, 1222, 2162, 14053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28095 and 28106. The biggest common factor number is the GCF number.
So the greatest common factor 28095 and 28106 is 1.

Also check out the Least Common Multiple of 28095 and 28106