What is the Greatest Common Factor of 53820 and 53827?

Greatest common factor (GCF) of 53820 and 53827 is 1.

GCF(53820,53827) = 1

We will now calculate the prime factors of 53820 and 53827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53820 and 53827.

How to find the GCF of 53820 and 53827?

We will first find the prime factorization of 53820 and 53827. After we will calculate the factors of 53820 and 53827 and find the biggest common factor number .

Step-1: Prime Factorization of 53820

Prime factors of 53820 are 2, 3, 5, 13, 23. Prime factorization of 53820 in exponential form is:

53820 = 2² × 3² × 5¹ × 13¹ × 23¹

Step-2: Prime Factorization of 53827

Prime factors of 53827 are 19, 2833. Prime factorization of 53827 in exponential form is:

53827 = 19¹ × 2833¹

Step-3: Factors of 53820

List of positive integer factors of 53820 that divides 53820 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 23, 26, 30, 36, 39, 45, 46, 52, 60, 65, 69, 78, 90, 92, 115, 117, 130, 138, 156, 180, 195, 207, 230, 234, 260, 276, 299, 345, 390, 414, 460, 468, 585, 598, 690, 780, 828, 897, 1035, 1170, 1196, 1380, 1495, 1794, 2070, 2340, 2691, 2990, 3588, 4140, 4485, 5382, 5980, 8970, 10764, 13455, 17940, 26910

Step-4: Factors of 53827

List of positive integer factors of 53827 that divides 53820 without a remainder.

1, 19, 2833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53820 and 53827. The biggest common factor number is the GCF number.
So the greatest common factor 53820 and 53827 is 1.

Also check out the Least Common Multiple of 53820 and 53827