What is the Greatest Common Factor of 5698 and 5708?

Greatest common factor (GCF) of 5698 and 5708 is 2.

GCF(5698,5708) = 2

We will now calculate the prime factors of 5698 and 5708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5698 and 5708.

How to find the GCF of 5698 and 5708?

We will first find the prime factorization of 5698 and 5708. After we will calculate the factors of 5698 and 5708 and find the biggest common factor number .

Step-1: Prime Factorization of 5698

Prime factors of 5698 are 2, 7, 11, 37. Prime factorization of 5698 in exponential form is:

5698 = 2¹ × 7¹ × 11¹ × 37¹

Step-2: Prime Factorization of 5708

Prime factors of 5708 are 2, 1427. Prime factorization of 5708 in exponential form is:

5708 = 2² × 1427¹

Step-3: Factors of 5698

List of positive integer factors of 5698 that divides 5698 without a remainder.

1, 2, 7, 11, 14, 22, 37, 74, 77, 154, 259, 407, 518, 814, 2849

Step-4: Factors of 5708

List of positive integer factors of 5708 that divides 5698 without a remainder.

1, 2, 4, 1427, 2854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5698 and 5708. The biggest common factor number is the GCF number.
So the greatest common factor 5698 and 5708 is 2.

Also check out the Least Common Multiple of 5698 and 5708