What is the Greatest Common Factor of 59805 and 59825?

Greatest common factor (GCF) of 59805 and 59825 is 5.

GCF(59805,59825) = 5

We will now calculate the prime factors of 59805 and 59825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59805 and 59825.

How to find the GCF of 59805 and 59825?

We will first find the prime factorization of 59805 and 59825. After we will calculate the factors of 59805 and 59825 and find the biggest common factor number .

Step-1: Prime Factorization of 59805

Prime factors of 59805 are 3, 5, 443. Prime factorization of 59805 in exponential form is:

59805 = 3³ × 5¹ × 443¹

Step-2: Prime Factorization of 59825

Prime factors of 59825 are 5, 2393. Prime factorization of 59825 in exponential form is:

59825 = 5² × 2393¹

Step-3: Factors of 59805

List of positive integer factors of 59805 that divides 59805 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 443, 1329, 2215, 3987, 6645, 11961, 19935

Step-4: Factors of 59825

List of positive integer factors of 59825 that divides 59805 without a remainder.

1, 5, 25, 2393, 11965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59805 and 59825. The biggest common factor number is the GCF number.
So the greatest common factor 59805 and 59825 is 5.

Also check out the Least Common Multiple of 59805 and 59825