What is the Greatest Common Factor of 2678 and 2698?

Greatest common factor (GCF) of 2678 and 2698 is 2.

GCF(2678,2698) = 2

We will now calculate the prime factors of 2678 and 2698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2678 and 2698.

How to find the GCF of 2678 and 2698?

We will first find the prime factorization of 2678 and 2698. After we will calculate the factors of 2678 and 2698 and find the biggest common factor number .

Step-1: Prime Factorization of 2678

Prime factors of 2678 are 2, 13, 103. Prime factorization of 2678 in exponential form is:

2678 = 2¹ × 13¹ × 103¹

Step-2: Prime Factorization of 2698

Prime factors of 2698 are 2, 19, 71. Prime factorization of 2698 in exponential form is:

2698 = 2¹ × 19¹ × 71¹

Step-3: Factors of 2678

List of positive integer factors of 2678 that divides 2678 without a remainder.

1, 2, 13, 26, 103, 206, 1339

Step-4: Factors of 2698

List of positive integer factors of 2698 that divides 2678 without a remainder.

1, 2, 19, 38, 71, 142, 1349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2678 and 2698. The biggest common factor number is the GCF number.
So the greatest common factor 2678 and 2698 is 2.

Also check out the Least Common Multiple of 2678 and 2698