What is the Greatest Common Factor of 5460 and 5468?

Greatest common factor (GCF) of 5460 and 5468 is 4.

GCF(5460,5468) = 4

We will now calculate the prime factors of 5460 and 5468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5460 and 5468.

How to find the GCF of 5460 and 5468?

We will first find the prime factorization of 5460 and 5468. After we will calculate the factors of 5460 and 5468 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5468

Prime factors of 5468 are 2, 1367. Prime factorization of 5468 in exponential form is:

5468 = 2² × 1367¹

Step-3: Factors of 5460

List of positive integer factors of 5460 that divides 5460 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

Step-4: Factors of 5468

List of positive integer factors of 5468 that divides 5460 without a remainder.

1, 2, 4, 1367, 2734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5460 and 5468. The biggest common factor number is the GCF number.
So the greatest common factor 5460 and 5468 is 4.

Also check out the Least Common Multiple of 5460 and 5468