What is the Greatest Common Factor of 58380 and 58388?

Greatest common factor (GCF) of 58380 and 58388 is 4.

GCF(58380,58388) = 4

We will now calculate the prime factors of 58380 and 58388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58380 and 58388.

How to find the GCF of 58380 and 58388?

We will first find the prime factorization of 58380 and 58388. After we will calculate the factors of 58380 and 58388 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 58388

Prime factors of 58388 are 2, 11, 1327. Prime factorization of 58388 in exponential form is:

58388 = 2² × 11¹ × 1327¹

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 58388

List of positive integer factors of 58388 that divides 58380 without a remainder.

1, 2, 4, 11, 22, 44, 1327, 2654, 5308, 14597, 29194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58380 and 58388. The biggest common factor number is the GCF number.
So the greatest common factor 58380 and 58388 is 4.

Also check out the Least Common Multiple of 58380 and 58388