What is the Greatest Common Factor of 53820 and 53833?

Greatest common factor (GCF) of 53820 and 53833 is 13.

GCF(53820,53833) = 13

We will now calculate the prime factors of 53820 and 53833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53820 and 53833.

How to find the GCF of 53820 and 53833?

We will first find the prime factorization of 53820 and 53833. After we will calculate the factors of 53820 and 53833 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 53833

Prime factors of 53833 are 13, 41, 101. Prime factorization of 53833 in exponential form is:

53833 = 13¹ × 41¹ × 101¹

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 53833

List of positive integer factors of 53833 that divides 53820 without a remainder.

1, 13, 41, 101, 533, 1313, 4141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53820 and 53833. The biggest common factor number is the GCF number.
So the greatest common factor 53820 and 53833 is 13.

Also check out the Least Common Multiple of 53820 and 53833