What is the Greatest Common Factor of 28106 and 28112?

Greatest common factor (GCF) of 28106 and 28112 is 2.

GCF(28106,28112) = 2

We will now calculate the prime factors of 28106 and 28112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28106 and 28112.

How to find the GCF of 28106 and 28112?

We will first find the prime factorization of 28106 and 28112. After we will calculate the factors of 28106 and 28112 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28112

Prime factors of 28112 are 2, 7, 251. Prime factorization of 28112 in exponential form is:

28112 = 2⁴ × 7¹ × 251¹

Step-3: Factors of 28106

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

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

Step-4: Factors of 28112

List of positive integer factors of 28112 that divides 28106 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 251, 502, 1004, 1757, 2008, 3514, 4016, 7028, 14056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28106 and 28112. The biggest common factor number is the GCF number.
So the greatest common factor 28106 and 28112 is 2.

Also check out the Least Common Multiple of 28106 and 28112