What is the Greatest Common Factor of 15456 and 15465?

Greatest common factor (GCF) of 15456 and 15465 is 3.

GCF(15456,15465) = 3

We will now calculate the prime factors of 15456 and 15465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15456 and 15465.

How to find the GCF of 15456 and 15465?

We will first find the prime factorization of 15456 and 15465. After we will calculate the factors of 15456 and 15465 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 15465

Prime factors of 15465 are 3, 5, 1031. Prime factorization of 15465 in exponential form is:

15465 = 3¹ × 5¹ × 1031¹

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 15465

List of positive integer factors of 15465 that divides 15456 without a remainder.

1, 3, 5, 15, 1031, 3093, 5155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15456 and 15465. The biggest common factor number is the GCF number.
So the greatest common factor 15456 and 15465 is 3.

Also check out the Least Common Multiple of 15456 and 15465