What is the Greatest Common Factor of 53872 and 53889?

Greatest common factor (GCF) of 53872 and 53889 is 1.

GCF(53872,53889) = 1

We will now calculate the prime factors of 53872 and 53889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53872 and 53889.

How to find the GCF of 53872 and 53889?

We will first find the prime factorization of 53872 and 53889. After we will calculate the factors of 53872 and 53889 and find the biggest common factor number .

Step-1: Prime Factorization of 53872

Prime factors of 53872 are 2, 7, 13, 37. Prime factorization of 53872 in exponential form is:

53872 = 2⁴ × 7¹ × 13¹ × 37¹

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 53872

List of positive integer factors of 53872 that divides 53872 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 37, 52, 56, 74, 91, 104, 112, 148, 182, 208, 259, 296, 364, 481, 518, 592, 728, 962, 1036, 1456, 1924, 2072, 3367, 3848, 4144, 6734, 7696, 13468, 26936

Step-4: Factors of 53889

List of positive integer factors of 53889 that divides 53872 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 53872 and 53889. The biggest common factor number is the GCF number.
So the greatest common factor 53872 and 53889 is 1.

Also check out the Least Common Multiple of 53872 and 53889