What is the Greatest Common Factor of 15392 and 15408?

Greatest common factor (GCF) of 15392 and 15408 is 16.

GCF(15392,15408) = 16

We will now calculate the prime factors of 15392 and 15408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15392 and 15408.

How to find the GCF of 15392 and 15408?

We will first find the prime factorization of 15392 and 15408. After we will calculate the factors of 15392 and 15408 and find the biggest common factor number .

Step-1: Prime Factorization of 15392

Prime factors of 15392 are 2, 13, 37. Prime factorization of 15392 in exponential form is:

15392 = 2⁵ × 13¹ × 37¹

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 15392

List of positive integer factors of 15392 that divides 15392 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 37, 52, 74, 104, 148, 208, 296, 416, 481, 592, 962, 1184, 1924, 3848, 7696

Step-4: Factors of 15408

List of positive integer factors of 15408 that divides 15392 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 15392 and 15408. The biggest common factor number is the GCF number.
So the greatest common factor 15392 and 15408 is 16.

Also check out the Least Common Multiple of 15392 and 15408