What is the Greatest Common Factor of 59305 and 59320?

Greatest common factor (GCF) of 59305 and 59320 is 5.

GCF(59305,59320) = 5

We will now calculate the prime factors of 59305 and 59320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59305 and 59320.

How to find the GCF of 59305 and 59320?

We will first find the prime factorization of 59305 and 59320. After we will calculate the factors of 59305 and 59320 and find the biggest common factor number .

Step-1: Prime Factorization of 59305

Prime factors of 59305 are 5, 29, 409. Prime factorization of 59305 in exponential form is:

59305 = 5¹ × 29¹ × 409¹

Step-2: Prime Factorization of 59320

Prime factors of 59320 are 2, 5, 1483. Prime factorization of 59320 in exponential form is:

59320 = 2³ × 5¹ × 1483¹

Step-3: Factors of 59305

List of positive integer factors of 59305 that divides 59305 without a remainder.

1, 5, 29, 145, 409, 2045, 11861

Step-4: Factors of 59320

List of positive integer factors of 59320 that divides 59305 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1483, 2966, 5932, 7415, 11864, 14830, 29660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59305 and 59320. The biggest common factor number is the GCF number.
So the greatest common factor 59305 and 59320 is 5.

Also check out the Least Common Multiple of 59305 and 59320