What is the Greatest Common Factor of 5456 and 5460?

Greatest common factor (GCF) of 5456 and 5460 is 4.

GCF(5456,5460) = 4

We will now calculate the prime factors of 5456 and 5460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5456 and 5460.

How to find the GCF of 5456 and 5460?

We will first find the prime factorization of 5456 and 5460. After we will calculate the factors of 5456 and 5460 and find the biggest common factor number .

Step-1: Prime Factorization of 5456

Prime factors of 5456 are 2, 11, 31. Prime factorization of 5456 in exponential form is:

5456 = 2⁴ × 11¹ × 31¹

Step-2: Prime Factorization of 5460

Prime factors of 5460 are 2, 3, 5, 7, 13. Prime factorization of 5460 in exponential form is:

5460 = 2² × 3¹ × 5¹ × 7¹ × 13¹

Step-3: Factors of 5456

List of positive integer factors of 5456 that divides 5456 without a remainder.

1, 2, 4, 8, 11, 16, 22, 31, 44, 62, 88, 124, 176, 248, 341, 496, 682, 1364, 2728

Step-4: Factors of 5460

List of positive integer factors of 5460 that divides 5456 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 52, 60, 65, 70, 78, 84, 91, 105, 130, 140, 156, 182, 195, 210, 260, 273, 364, 390, 420, 455, 546, 780, 910, 1092, 1365, 1820, 2730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5456 and 5460. The biggest common factor number is the GCF number.
So the greatest common factor 5456 and 5460 is 4.

Also check out the Least Common Multiple of 5456 and 5460