What is the Greatest Common Factor of 53865 and 53880?

Greatest common factor (GCF) of 53865 and 53880 is 15.

GCF(53865,53880) = 15

We will now calculate the prime factors of 53865 and 53880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53865 and 53880.

How to find the GCF of 53865 and 53880?

We will first find the prime factorization of 53865 and 53880. After we will calculate the factors of 53865 and 53880 and find the biggest common factor number .

Step-1: Prime Factorization of 53865

Prime factors of 53865 are 3, 5, 7, 19. Prime factorization of 53865 in exponential form is:

53865 = 3⁴ × 5¹ × 7¹ × 19¹

Step-2: Prime Factorization of 53880

Prime factors of 53880 are 2, 3, 5, 449. Prime factorization of 53880 in exponential form is:

53880 = 2³ × 3¹ × 5¹ × 449¹

Step-3: Factors of 53865

List of positive integer factors of 53865 that divides 53865 without a remainder.

1, 3, 5, 7, 9, 15, 19, 21, 27, 35, 45, 57, 63, 81, 95, 105, 133, 135, 171, 189, 285, 315, 399, 405, 513, 567, 665, 855, 945, 1197, 1539, 1995, 2565, 2835, 3591, 5985, 7695, 10773, 17955

Step-4: Factors of 53880

List of positive integer factors of 53880 that divides 53865 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 449, 898, 1347, 1796, 2245, 2694, 3592, 4490, 5388, 6735, 8980, 10776, 13470, 17960, 26940

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53865 and 53880. The biggest common factor number is the GCF number.
So the greatest common factor 53865 and 53880 is 15.

Also check out the Least Common Multiple of 53865 and 53880