What is the Greatest Common Factor of 58364 and 58374?

Greatest common factor (GCF) of 58364 and 58374 is 2.

GCF(58364,58374) = 2

We will now calculate the prime factors of 58364 and 58374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58364 and 58374.

How to find the GCF of 58364 and 58374?

We will first find the prime factorization of 58364 and 58374. After we will calculate the factors of 58364 and 58374 and find the biggest common factor number .

Step-1: Prime Factorization of 58364

Prime factors of 58364 are 2, 14591. Prime factorization of 58364 in exponential form is:

58364 = 2² × 14591¹

Step-2: Prime Factorization of 58374

Prime factors of 58374 are 2, 3, 23, 47. Prime factorization of 58374 in exponential form is:

58374 = 2¹ × 3³ × 23¹ × 47¹

Step-3: Factors of 58364

List of positive integer factors of 58364 that divides 58364 without a remainder.

1, 2, 4, 14591, 29182

Step-4: Factors of 58374

List of positive integer factors of 58374 that divides 58364 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 46, 47, 54, 69, 94, 138, 141, 207, 282, 414, 423, 621, 846, 1081, 1242, 1269, 2162, 2538, 3243, 6486, 9729, 19458, 29187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58364 and 58374. The biggest common factor number is the GCF number.
So the greatest common factor 58364 and 58374 is 2.

Also check out the Least Common Multiple of 58364 and 58374