What is the Greatest Common Factor of 78605 and 78625?

Greatest common factor (GCF) of 78605 and 78625 is 5.

GCF(78605,78625) = 5

We will now calculate the prime factors of 78605 and 78625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78605 and 78625.

How to find the GCF of 78605 and 78625?

We will first find the prime factorization of 78605 and 78625. After we will calculate the factors of 78605 and 78625 and find the biggest common factor number .

Step-1: Prime Factorization of 78605

Prime factors of 78605 are 5, 79, 199. Prime factorization of 78605 in exponential form is:

78605 = 5¹ × 79¹ × 199¹

Step-2: Prime Factorization of 78625

Prime factors of 78625 are 5, 17, 37. Prime factorization of 78625 in exponential form is:

78625 = 5³ × 17¹ × 37¹

Step-3: Factors of 78605

List of positive integer factors of 78605 that divides 78605 without a remainder.

1, 5, 79, 199, 395, 995, 15721

Step-4: Factors of 78625

List of positive integer factors of 78625 that divides 78605 without a remainder.

1, 5, 17, 25, 37, 85, 125, 185, 425, 629, 925, 2125, 3145, 4625, 15725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78605 and 78625. The biggest common factor number is the GCF number.
So the greatest common factor 78605 and 78625 is 5.

Also check out the Least Common Multiple of 78605 and 78625