What is the Greatest Common Factor of 58919 and 58926?

Greatest common factor (GCF) of 58919 and 58926 is 7.

GCF(58919,58926) = 7

We will now calculate the prime factors of 58919 and 58926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58919 and 58926.

How to find the GCF of 58919 and 58926?

We will first find the prime factorization of 58919 and 58926. After we will calculate the factors of 58919 and 58926 and find the biggest common factor number .

Step-1: Prime Factorization of 58919

Prime factors of 58919 are 7, 19, 443. Prime factorization of 58919 in exponential form is:

58919 = 7¹ × 19¹ × 443¹

Step-2: 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-3: Factors of 58919

List of positive integer factors of 58919 that divides 58919 without a remainder.

1, 7, 19, 133, 443, 3101, 8417

Step-4: Factors of 58926

List of positive integer factors of 58926 that divides 58919 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58919 and 58926. The biggest common factor number is the GCF number.
So the greatest common factor 58919 and 58926 is 7.

Also check out the Least Common Multiple of 58919 and 58926