What is the Greatest Common Factor of 59825 and 59830?

Greatest common factor (GCF) of 59825 and 59830 is 5.

GCF(59825,59830) = 5

We will now calculate the prime factors of 59825 and 59830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59825 and 59830.

How to find the GCF of 59825 and 59830?

We will first find the prime factorization of 59825 and 59830. After we will calculate the factors of 59825 and 59830 and find the biggest common factor number .

Step-1: Prime Factorization of 59825

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

59825 = 5² × 2393¹

Step-2: Prime Factorization of 59830

Prime factors of 59830 are 2, 5, 31, 193. Prime factorization of 59830 in exponential form is:

59830 = 2¹ × 5¹ × 31¹ × 193¹

Step-3: Factors of 59825

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

1, 5, 25, 2393, 11965

Step-4: Factors of 59830

List of positive integer factors of 59830 that divides 59825 without a remainder.

1, 2, 5, 10, 31, 62, 155, 193, 310, 386, 965, 1930, 5983, 11966, 29915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59825 and 59830. The biggest common factor number is the GCF number.
So the greatest common factor 59825 and 59830 is 5.

Also check out the Least Common Multiple of 59825 and 59830