What is the Greatest Common Factor of 53460 and 53478?

Greatest common factor (GCF) of 53460 and 53478 is 18.

GCF(53460,53478) = 18

We will now calculate the prime factors of 53460 and 53478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53460 and 53478.

How to find the GCF of 53460 and 53478?

We will first find the prime factorization of 53460 and 53478. After we will calculate the factors of 53460 and 53478 and find the biggest common factor number .

Step-1: Prime Factorization of 53460

Prime factors of 53460 are 2, 3, 5, 11. Prime factorization of 53460 in exponential form is:

53460 = 2² × 3⁵ × 5¹ × 11¹

Step-2: Prime Factorization of 53478

Prime factors of 53478 are 2, 3, 2971. Prime factorization of 53478 in exponential form is:

53478 = 2¹ × 3² × 2971¹

Step-3: Factors of 53460

List of positive integer factors of 53460 that divides 53460 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 27, 30, 33, 36, 44, 45, 54, 55, 60, 66, 81, 90, 99, 108, 110, 132, 135, 162, 165, 180, 198, 220, 243, 270, 297, 324, 330, 396, 405, 486, 495, 540, 594, 660, 810, 891, 972, 990, 1188, 1215, 1485, 1620, 1782, 1980, 2430, 2673, 2970, 3564, 4455, 4860, 5346, 5940, 8910, 10692, 13365, 17820, 26730

Step-4: Factors of 53478

List of positive integer factors of 53478 that divides 53460 without a remainder.

1, 2, 3, 6, 9, 18, 2971, 5942, 8913, 17826, 26739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53460 and 53478. The biggest common factor number is the GCF number.
So the greatest common factor 53460 and 53478 is 18.

Also check out the Least Common Multiple of 53460 and 53478