What is the Greatest Common Factor of 58380 and 58390?

Greatest common factor (GCF) of 58380 and 58390 is 10.

GCF(58380,58390) = 10

We will now calculate the prime factors of 58380 and 58390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58380 and 58390.

How to find the GCF of 58380 and 58390?

We will first find the prime factorization of 58380 and 58390. After we will calculate the factors of 58380 and 58390 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 58390

Prime factors of 58390 are 2, 5, 5839. Prime factorization of 58390 in exponential form is:

58390 = 2¹ × 5¹ × 5839¹

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 58390

List of positive integer factors of 58390 that divides 58380 without a remainder.

1, 2, 5, 10, 5839, 11678, 29195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58380 and 58390. The biggest common factor number is the GCF number.
So the greatest common factor 58380 and 58390 is 10.

Also check out the Least Common Multiple of 58380 and 58390