What is the Greatest Common Factor of 58922 and 58926?

Greatest common factor (GCF) of 58922 and 58926 is 2.

GCF(58922,58926) = 2

We will now calculate the prime factors of 58922 and 58926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58922 and 58926.

How to find the GCF of 58922 and 58926?

We will first find the prime factorization of 58922 and 58926. After we will calculate the factors of 58922 and 58926 and find the biggest common factor number .

Step-1: Prime Factorization of 58922

Prime factors of 58922 are 2, 17, 1733. Prime factorization of 58922 in exponential form is:

58922 = 2¹ × 17¹ × 1733¹

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 58922

List of positive integer factors of 58922 that divides 58922 without a remainder.

1, 2, 17, 34, 1733, 3466, 29461

Step-4: Factors of 58926

List of positive integer factors of 58926 that divides 58922 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 58922 and 58926. The biggest common factor number is the GCF number.
So the greatest common factor 58922 and 58926 is 2.

Also check out the Least Common Multiple of 58922 and 58926