What is the Greatest Common Factor of 53814 and 53820?

Greatest common factor (GCF) of 53814 and 53820 is 6.

GCF(53814,53820) = 6

We will now calculate the prime factors of 53814 and 53820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53814 and 53820.

How to find the GCF of 53814 and 53820?

We will first find the prime factorization of 53814 and 53820. After we will calculate the factors of 53814 and 53820 and find the biggest common factor number .

Step-1: Prime Factorization of 53814

Prime factors of 53814 are 2, 3, 8969. Prime factorization of 53814 in exponential form is:

53814 = 2¹ × 3¹ × 8969¹

Step-2: 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-3: Factors of 53814

List of positive integer factors of 53814 that divides 53814 without a remainder.

1, 2, 3, 6, 8969, 17938, 26907

Step-4: Factors of 53820

List of positive integer factors of 53820 that divides 53814 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53814 and 53820. The biggest common factor number is the GCF number.
So the greatest common factor 53814 and 53820 is 6.

Also check out the Least Common Multiple of 53814 and 53820