What is the Greatest Common Factor of 4102 and 4108?

Greatest common factor (GCF) of 4102 and 4108 is 2.

GCF(4102,4108) = 2

We will now calculate the prime factors of 4102 and 4108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4102 and 4108.

How to find the GCF of 4102 and 4108?

We will first find the prime factorization of 4102 and 4108. After we will calculate the factors of 4102 and 4108 and find the biggest common factor number .

Step-1: Prime Factorization of 4102

Prime factors of 4102 are 2, 7, 293. Prime factorization of 4102 in exponential form is:

4102 = 2¹ × 7¹ × 293¹

Step-2: Prime Factorization of 4108

Prime factors of 4108 are 2, 13, 79. Prime factorization of 4108 in exponential form is:

4108 = 2² × 13¹ × 79¹

Step-3: Factors of 4102

List of positive integer factors of 4102 that divides 4102 without a remainder.

1, 2, 7, 14, 293, 586, 2051

Step-4: Factors of 4108

List of positive integer factors of 4108 that divides 4102 without a remainder.

1, 2, 4, 13, 26, 52, 79, 158, 316, 1027, 2054

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4102 and 4108. The biggest common factor number is the GCF number.
So the greatest common factor 4102 and 4108 is 2.

Also check out the Least Common Multiple of 4102 and 4108