What is the Greatest Common Factor of 15456 and 15469?

Greatest common factor (GCF) of 15456 and 15469 is 1.

GCF(15456,15469) = 1

We will now calculate the prime factors of 15456 and 15469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15456 and 15469.

How to find the GCF of 15456 and 15469?

We will first find the prime factorization of 15456 and 15469. After we will calculate the factors of 15456 and 15469 and find the biggest common factor number .

Step-1: Prime Factorization of 15456

Prime factors of 15456 are 2, 3, 7, 23. Prime factorization of 15456 in exponential form is:

15456 = 2⁵ × 3¹ × 7¹ × 23¹

Step-2: Prime Factorization of 15469

Prime factors of 15469 are 31, 499. Prime factorization of 15469 in exponential form is:

15469 = 31¹ × 499¹

Step-3: Factors of 15456

List of positive integer factors of 15456 that divides 15456 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 23, 24, 28, 32, 42, 46, 48, 56, 69, 84, 92, 96, 112, 138, 161, 168, 184, 224, 276, 322, 336, 368, 483, 552, 644, 672, 736, 966, 1104, 1288, 1932, 2208, 2576, 3864, 5152, 7728

Step-4: Factors of 15469

List of positive integer factors of 15469 that divides 15456 without a remainder.

1, 31, 499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15456 and 15469. The biggest common factor number is the GCF number.
So the greatest common factor 15456 and 15469 is 1.

Also check out the Least Common Multiple of 15456 and 15469