What is the Greatest Common Factor of 58926 and 58943?

Greatest common factor (GCF) of 58926 and 58943 is 1.

GCF(58926,58943) = 1

We will now calculate the prime factors of 58926 and 58943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58926 and 58943.

How to find the GCF of 58926 and 58943?

We will first find the prime factorization of 58926 and 58943. After we will calculate the factors of 58926 and 58943 and find the biggest common factor number .

Step-1: Prime Factorization of 58926

Prime factors of 58926 are 2, 3, 7, 23, 61. Prime factorization of 58926 in exponential form is:

58926 = 2¹ × 3¹ × 7¹ × 23¹ × 61¹

Step-2: Prime Factorization of 58943

Prime factors of 58943 are 58943. Prime factorization of 58943 in exponential form is:

58943 = 58943¹

Step-3: Factors of 58926

List of positive integer factors of 58926 that divides 58926 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 61, 69, 122, 138, 161, 183, 322, 366, 427, 483, 854, 966, 1281, 1403, 2562, 2806, 4209, 8418, 9821, 19642, 29463

Step-4: Factors of 58943

List of positive integer factors of 58943 that divides 58926 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58926 and 58943. The biggest common factor number is the GCF number.
So the greatest common factor 58926 and 58943 is 1.

Also check out the Least Common Multiple of 58926 and 58943