What is the Greatest Common Factor of 53820 and 53828?

Greatest common factor (GCF) of 53820 and 53828 is 4.

GCF(53820,53828) = 4

We will now calculate the prime factors of 53820 and 53828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53820 and 53828.

How to find the GCF of 53820 and 53828?

We will first find the prime factorization of 53820 and 53828. After we will calculate the factors of 53820 and 53828 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 53828

Prime factors of 53828 are 2, 13457. Prime factorization of 53828 in exponential form is:

53828 = 2² × 13457¹

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 53828

List of positive integer factors of 53828 that divides 53820 without a remainder.

1, 2, 4, 13457, 26914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53820 and 53828. The biggest common factor number is the GCF number.
So the greatest common factor 53820 and 53828 is 4.

Also check out the Least Common Multiple of 53820 and 53828