What is the Greatest Common Factor of 59365 and 59380?

Greatest common factor (GCF) of 59365 and 59380 is 5.

GCF(59365,59380) = 5

We will now calculate the prime factors of 59365 and 59380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59365 and 59380.

How to find the GCF of 59365 and 59380?

We will first find the prime factorization of 59365 and 59380. After we will calculate the factors of 59365 and 59380 and find the biggest common factor number .

Step-1: Prime Factorization of 59365

Prime factors of 59365 are 5, 31, 383. Prime factorization of 59365 in exponential form is:

59365 = 5¹ × 31¹ × 383¹

Step-2: Prime Factorization of 59380

Prime factors of 59380 are 2, 5, 2969. Prime factorization of 59380 in exponential form is:

59380 = 2² × 5¹ × 2969¹

Step-3: Factors of 59365

List of positive integer factors of 59365 that divides 59365 without a remainder.

1, 5, 31, 155, 383, 1915, 11873

Step-4: Factors of 59380

List of positive integer factors of 59380 that divides 59365 without a remainder.

1, 2, 4, 5, 10, 20, 2969, 5938, 11876, 14845, 29690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59365 and 59380. The biggest common factor number is the GCF number.
So the greatest common factor 59365 and 59380 is 5.

Also check out the Least Common Multiple of 59365 and 59380