What is the Greatest Common Factor of 53889 and 53901?

Greatest common factor (GCF) of 53889 and 53901 is 3.

GCF(53889,53901) = 3

We will now calculate the prime factors of 53889 and 53901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53889 and 53901.

How to find the GCF of 53889 and 53901?

We will first find the prime factorization of 53889 and 53901. After we will calculate the factors of 53889 and 53901 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 53901

Prime factors of 53901 are 3, 53, 113. Prime factorization of 53901 in exponential form is:

53901 = 3² × 53¹ × 113¹

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 53901

List of positive integer factors of 53901 that divides 53889 without a remainder.

1, 3, 9, 53, 113, 159, 339, 477, 1017, 5989, 17967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53889 and 53901. The biggest common factor number is the GCF number.
So the greatest common factor 53889 and 53901 is 3.

Also check out the Least Common Multiple of 53889 and 53901