What is the Greatest Common Factor of 58365 and 58380?

Greatest common factor (GCF) of 58365 and 58380 is 15.

GCF(58365,58380) = 15

We will now calculate the prime factors of 58365 and 58380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58365 and 58380.

How to find the GCF of 58365 and 58380?

We will first find the prime factorization of 58365 and 58380. After we will calculate the factors of 58365 and 58380 and find the biggest common factor number .

Step-1: Prime Factorization of 58365

Prime factors of 58365 are 3, 5, 1297. Prime factorization of 58365 in exponential form is:

58365 = 3² × 5¹ × 1297¹

Step-2: 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-3: Factors of 58365

List of positive integer factors of 58365 that divides 58365 without a remainder.

1, 3, 5, 9, 15, 45, 1297, 3891, 6485, 11673, 19455

Step-4: Factors of 58380

List of positive integer factors of 58380 that divides 58365 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58365 and 58380. The biggest common factor number is the GCF number.
So the greatest common factor 58365 and 58380 is 15.

Also check out the Least Common Multiple of 58365 and 58380