What is the Greatest Common Factor of 13640 and 13658?

Greatest common factor (GCF) of 13640 and 13658 is 2.

GCF(13640,13658) = 2

We will now calculate the prime factors of 13640 and 13658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13640 and 13658.

How to find the GCF of 13640 and 13658?

We will first find the prime factorization of 13640 and 13658. After we will calculate the factors of 13640 and 13658 and find the biggest common factor number .

Step-1: Prime Factorization of 13640

Prime factors of 13640 are 2, 5, 11, 31. Prime factorization of 13640 in exponential form is:

13640 = 2³ × 5¹ × 11¹ × 31¹

Step-2: Prime Factorization of 13658

Prime factors of 13658 are 2, 6829. Prime factorization of 13658 in exponential form is:

13658 = 2¹ × 6829¹

Step-3: Factors of 13640

List of positive integer factors of 13640 that divides 13640 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 31, 40, 44, 55, 62, 88, 110, 124, 155, 220, 248, 310, 341, 440, 620, 682, 1240, 1364, 1705, 2728, 3410, 6820

Step-4: Factors of 13658

List of positive integer factors of 13658 that divides 13640 without a remainder.

1, 2, 6829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13640 and 13658. The biggest common factor number is the GCF number.
So the greatest common factor 13640 and 13658 is 2.

Also check out the Least Common Multiple of 13640 and 13658