What is the Greatest Common Factor of 58380 and 58386?

Greatest common factor (GCF) of 58380 and 58386 is 6.

GCF(58380,58386) = 6

We will now calculate the prime factors of 58380 and 58386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58380 and 58386.

How to find the GCF of 58380 and 58386?

We will first find the prime factorization of 58380 and 58386. After we will calculate the factors of 58380 and 58386 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 58386

Prime factors of 58386 are 2, 3, 37, 263. Prime factorization of 58386 in exponential form is:

58386 = 2¹ × 3¹ × 37¹ × 263¹

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 58386

List of positive integer factors of 58386 that divides 58380 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 263, 526, 789, 1578, 9731, 19462, 29193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58380 and 58386. The biggest common factor number is the GCF number.
So the greatest common factor 58380 and 58386 is 6.

Also check out the Least Common Multiple of 58380 and 58386