What is the Greatest Common Factor of 15398 and 15408?

Greatest common factor (GCF) of 15398 and 15408 is 2.

GCF(15398,15408) = 2

We will now calculate the prime factors of 15398 and 15408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15398 and 15408.

How to find the GCF of 15398 and 15408?

We will first find the prime factorization of 15398 and 15408. After we will calculate the factors of 15398 and 15408 and find the biggest common factor number .

Step-1: Prime Factorization of 15398

Prime factors of 15398 are 2, 7699. Prime factorization of 15398 in exponential form is:

15398 = 2¹ × 7699¹

Step-2: Prime Factorization of 15408

Prime factors of 15408 are 2, 3, 107. Prime factorization of 15408 in exponential form is:

15408 = 2⁴ × 3² × 107¹

Step-3: Factors of 15398

List of positive integer factors of 15398 that divides 15398 without a remainder.

1, 2, 7699

Step-4: Factors of 15408

List of positive integer factors of 15408 that divides 15398 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 107, 144, 214, 321, 428, 642, 856, 963, 1284, 1712, 1926, 2568, 3852, 5136, 7704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15398 and 15408. The biggest common factor number is the GCF number.
So the greatest common factor 15398 and 15408 is 2.

Also check out the Least Common Multiple of 15398 and 15408