What is the Greatest Common Factor of 53810 and 53820?

Greatest common factor (GCF) of 53810 and 53820 is 10.

GCF(53810,53820) = 10

We will now calculate the prime factors of 53810 and 53820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53810 and 53820.

How to find the GCF of 53810 and 53820?

We will first find the prime factorization of 53810 and 53820. After we will calculate the factors of 53810 and 53820 and find the biggest common factor number .

Step-1: Prime Factorization of 53810

Prime factors of 53810 are 2, 5, 5381. Prime factorization of 53810 in exponential form is:

53810 = 2¹ × 5¹ × 5381¹

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 53810

List of positive integer factors of 53810 that divides 53810 without a remainder.

1, 2, 5, 10, 5381, 10762, 26905

Step-4: Factors of 53820

List of positive integer factors of 53820 that divides 53810 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 53810 and 53820. The biggest common factor number is the GCF number.
So the greatest common factor 53810 and 53820 is 10.

Also check out the Least Common Multiple of 53810 and 53820