What is the Greatest Common Factor of 53820 and 53832?

Greatest common factor (GCF) of 53820 and 53832 is 12.

GCF(53820,53832) = 12

We will now calculate the prime factors of 53820 and 53832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53820 and 53832.

How to find the GCF of 53820 and 53832?

We will first find the prime factorization of 53820 and 53832. After we will calculate the factors of 53820 and 53832 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 53832

Prime factors of 53832 are 2, 3, 2243. Prime factorization of 53832 in exponential form is:

53832 = 2³ × 3¹ × 2243¹

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 53832

List of positive integer factors of 53832 that divides 53820 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2243, 4486, 6729, 8972, 13458, 17944, 26916

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53820 and 53832. The biggest common factor number is the GCF number.
So the greatest common factor 53820 and 53832 is 12.

Also check out the Least Common Multiple of 53820 and 53832