What is the Greatest Common Factor of 78605 and 78610?

Greatest common factor (GCF) of 78605 and 78610 is 5.

GCF(78605,78610) = 5

We will now calculate the prime factors of 78605 and 78610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78605 and 78610.

How to find the GCF of 78605 and 78610?

We will first find the prime factorization of 78605 and 78610. After we will calculate the factors of 78605 and 78610 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 78610

Prime factors of 78610 are 2, 5, 7, 1123. Prime factorization of 78610 in exponential form is:

78610 = 2¹ × 5¹ × 7¹ × 1123¹

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 78610

List of positive integer factors of 78610 that divides 78605 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1123, 2246, 5615, 7861, 11230, 15722, 39305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78605 and 78610. The biggest common factor number is the GCF number.
So the greatest common factor 78605 and 78610 is 5.

Also check out the Least Common Multiple of 78605 and 78610