What is the Greatest Common Factor of 53878 and 53889?

Greatest common factor (GCF) of 53878 and 53889 is 11.

GCF(53878,53889) = 11

We will now calculate the prime factors of 53878 and 53889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53878 and 53889.

How to find the GCF of 53878 and 53889?

We will first find the prime factorization of 53878 and 53889. After we will calculate the factors of 53878 and 53889 and find the biggest common factor number .

Step-1: Prime Factorization of 53878

Prime factors of 53878 are 2, 11, 31, 79. Prime factorization of 53878 in exponential form is:

53878 = 2¹ × 11¹ × 31¹ × 79¹

Step-2: 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-3: Factors of 53878

List of positive integer factors of 53878 that divides 53878 without a remainder.

1, 2, 11, 22, 31, 62, 79, 158, 341, 682, 869, 1738, 2449, 4898, 26939

Step-4: Factors of 53889

List of positive integer factors of 53889 that divides 53878 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53878 and 53889. The biggest common factor number is the GCF number.
So the greatest common factor 53878 and 53889 is 11.

Also check out the Least Common Multiple of 53878 and 53889