What is the Greatest Common Factor of 53889 and 53898?

Greatest common factor (GCF) of 53889 and 53898 is 3.

GCF(53889,53898) = 3

We will now calculate the prime factors of 53889 and 53898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53889 and 53898.

How to find the GCF of 53889 and 53898?

We will first find the prime factorization of 53889 and 53898. After we will calculate the factors of 53889 and 53898 and find the biggest common factor number .

Step-1: Prime Factorization of 53889

Prime factors of 53889 are 3, 11, 23, 71. Prime factorization of 53889 in exponential form is:

53889 = 3¹ × 11¹ × 23¹ × 71¹

Step-2: Prime Factorization of 53898

Prime factors of 53898 are 2, 3, 13, 691. Prime factorization of 53898 in exponential form is:

53898 = 2¹ × 3¹ × 13¹ × 691¹

Step-3: Factors of 53889

List of positive integer factors of 53889 that divides 53889 without a remainder.

1, 3, 11, 23, 33, 69, 71, 213, 253, 759, 781, 1633, 2343, 4899, 17963

Step-4: Factors of 53898

List of positive integer factors of 53898 that divides 53889 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 691, 1382, 2073, 4146, 8983, 17966, 26949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53889 and 53898. The biggest common factor number is the GCF number.
So the greatest common factor 53889 and 53898 is 3.

Also check out the Least Common Multiple of 53889 and 53898