What is the Greatest Common Factor of 58380 and 58394?

Greatest common factor (GCF) of 58380 and 58394 is 14.

GCF(58380,58394) = 14

We will now calculate the prime factors of 58380 and 58394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58380 and 58394.

How to find the GCF of 58380 and 58394?

We will first find the prime factorization of 58380 and 58394. After we will calculate the factors of 58380 and 58394 and find the biggest common factor number .

Step-1: Prime Factorization of 58380

Prime factors of 58380 are 2, 3, 5, 7, 139. Prime factorization of 58380 in exponential form is:

58380 = 2² × 3¹ × 5¹ × 7¹ × 139¹

Step-2: Prime Factorization of 58394

Prime factors of 58394 are 2, 7, 43, 97. Prime factorization of 58394 in exponential form is:

58394 = 2¹ × 7¹ × 43¹ × 97¹

Step-3: Factors of 58380

List of positive integer factors of 58380 that divides 58380 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 139, 140, 210, 278, 417, 420, 556, 695, 834, 973, 1390, 1668, 1946, 2085, 2780, 2919, 3892, 4170, 4865, 5838, 8340, 9730, 11676, 14595, 19460, 29190

Step-4: Factors of 58394

List of positive integer factors of 58394 that divides 58380 without a remainder.

1, 2, 7, 14, 43, 86, 97, 194, 301, 602, 679, 1358, 4171, 8342, 29197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58380 and 58394. The biggest common factor number is the GCF number.
So the greatest common factor 58380 and 58394 is 14.

Also check out the Least Common Multiple of 58380 and 58394