What is the Greatest Common Factor of 53760 and 53771?

Greatest common factor (GCF) of 53760 and 53771 is 1.

GCF(53760,53771) = 1

We will now calculate the prime factors of 53760 and 53771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53760 and 53771.

How to find the GCF of 53760 and 53771?

We will first find the prime factorization of 53760 and 53771. After we will calculate the factors of 53760 and 53771 and find the biggest common factor number .

Step-1: Prime Factorization of 53760

Prime factors of 53760 are 2, 3, 5, 7. Prime factorization of 53760 in exponential form is:

53760 = 2⁹ × 3¹ × 5¹ × 7¹

Step-2: Prime Factorization of 53771

Prime factors of 53771 are 17, 3163. Prime factorization of 53771 in exponential form is:

53771 = 17¹ × 3163¹

Step-3: Factors of 53760

List of positive integer factors of 53760 that divides 53760 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 64, 70, 80, 84, 96, 105, 112, 120, 128, 140, 160, 168, 192, 210, 224, 240, 256, 280, 320, 336, 384, 420, 448, 480, 512, 560, 640, 672, 768, 840, 896, 960, 1120, 1280, 1344, 1536, 1680, 1792, 1920, 2240, 2560, 2688, 3360, 3584, 3840, 4480, 5376, 6720, 7680, 8960, 10752, 13440, 17920, 26880

Step-4: Factors of 53771

List of positive integer factors of 53771 that divides 53760 without a remainder.

1, 17, 3163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53760 and 53771. The biggest common factor number is the GCF number.
So the greatest common factor 53760 and 53771 is 1.

Also check out the Least Common Multiple of 53760 and 53771