What is the Greatest Common Factor of 53760 and 53773?

Greatest common factor (GCF) of 53760 and 53773 is 1.

GCF(53760,53773) = 1

We will now calculate the prime factors of 53760 and 53773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53760 and 53773.

How to find the GCF of 53760 and 53773?

We will first find the prime factorization of 53760 and 53773. After we will calculate the factors of 53760 and 53773 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 53773

Prime factors of 53773 are 53773. Prime factorization of 53773 in exponential form is:

53773 = 53773¹

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 53773

List of positive integer factors of 53773 that divides 53760 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53760 and 53773. The biggest common factor number is the GCF number.
So the greatest common factor 53760 and 53773 is 1.

Also check out the Least Common Multiple of 53760 and 53773