What is the Greatest Common Factor of 5450 and 5460?

Greatest common factor (GCF) of 5450 and 5460 is 10.

GCF(5450,5460) = 10

We will now calculate the prime factors of 5450 and 5460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5450 and 5460.

How to find the GCF of 5450 and 5460?

We will first find the prime factorization of 5450 and 5460. After we will calculate the factors of 5450 and 5460 and find the biggest common factor number .

Step-1: Prime Factorization of 5450

Prime factors of 5450 are 2, 5, 109. Prime factorization of 5450 in exponential form is:

5450 = 2¹ × 5² × 109¹

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 5450

List of positive integer factors of 5450 that divides 5450 without a remainder.

1, 2, 5, 10, 25, 50, 109, 218, 545, 1090, 2725

Step-4: Factors of 5460

List of positive integer factors of 5460 that divides 5450 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 5450 and 5460. The biggest common factor number is the GCF number.
So the greatest common factor 5450 and 5460 is 10.

Also check out the Least Common Multiple of 5450 and 5460