What is the Greatest Common Factor of 28102 and 28106?

Greatest common factor (GCF) of 28102 and 28106 is 2.

GCF(28102,28106) = 2

We will now calculate the prime factors of 28102 and 28106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28102 and 28106.

How to find the GCF of 28102 and 28106?

We will first find the prime factorization of 28102 and 28106. After we will calculate the factors of 28102 and 28106 and find the biggest common factor number .

Step-1: Prime Factorization of 28102

Prime factors of 28102 are 2, 14051. Prime factorization of 28102 in exponential form is:

28102 = 2¹ × 14051¹

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 28102

List of positive integer factors of 28102 that divides 28102 without a remainder.

1, 2, 14051

Step-4: Factors of 28106

List of positive integer factors of 28106 that divides 28102 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 28102 and 28106. The biggest common factor number is the GCF number.
So the greatest common factor 28102 and 28106 is 2.

Also check out the Least Common Multiple of 28102 and 28106