What is the Greatest Common Factor of 53820 and 53834?

Greatest common factor (GCF) of 53820 and 53834 is 2.

GCF(53820,53834) = 2

We will now calculate the prime factors of 53820 and 53834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53820 and 53834.

How to find the GCF of 53820 and 53834?

We will first find the prime factorization of 53820 and 53834. After we will calculate the factors of 53820 and 53834 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 53834

Prime factors of 53834 are 2, 11, 2447. Prime factorization of 53834 in exponential form is:

53834 = 2¹ × 11¹ × 2447¹

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 53834

List of positive integer factors of 53834 that divides 53820 without a remainder.

1, 2, 11, 22, 2447, 4894, 26917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53820 and 53834. The biggest common factor number is the GCF number.
So the greatest common factor 53820 and 53834 is 2.

Also check out the Least Common Multiple of 53820 and 53834