What is the Greatest Common Factor of 5446 and 5460?

Greatest common factor (GCF) of 5446 and 5460 is 14.

GCF(5446,5460) = 14

We will now calculate the prime factors of 5446 and 5460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5446 and 5460.

How to find the GCF of 5446 and 5460?

We will first find the prime factorization of 5446 and 5460. After we will calculate the factors of 5446 and 5460 and find the biggest common factor number .

Step-1: Prime Factorization of 5446

Prime factors of 5446 are 2, 7, 389. Prime factorization of 5446 in exponential form is:

5446 = 2¹ × 7¹ × 389¹

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 5446

List of positive integer factors of 5446 that divides 5446 without a remainder.

1, 2, 7, 14, 389, 778, 2723

Step-4: Factors of 5460

List of positive integer factors of 5460 that divides 5446 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 5446 and 5460. The biggest common factor number is the GCF number.
So the greatest common factor 5446 and 5460 is 14.

Also check out the Least Common Multiple of 5446 and 5460