What is the Greatest Common Factor of 53460 and 53471?

Greatest common factor (GCF) of 53460 and 53471 is 11.

GCF(53460,53471) = 11

We will now calculate the prime factors of 53460 and 53471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53460 and 53471.

How to find the GCF of 53460 and 53471?

We will first find the prime factorization of 53460 and 53471. After we will calculate the factors of 53460 and 53471 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 53471

Prime factors of 53471 are 11, 4861. Prime factorization of 53471 in exponential form is:

53471 = 11¹ × 4861¹

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 53471

List of positive integer factors of 53471 that divides 53460 without a remainder.

1, 11, 4861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53460 and 53471. The biggest common factor number is the GCF number.
So the greatest common factor 53460 and 53471 is 11.

Also check out the Least Common Multiple of 53460 and 53471