What is the Greatest Common Factor of 79075 and 79085?

Greatest common factor (GCF) of 79075 and 79085 is 5.

GCF(79075,79085) = 5

We will now calculate the prime factors of 79075 and 79085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79075 and 79085.

How to find the GCF of 79075 and 79085?

We will first find the prime factorization of 79075 and 79085. After we will calculate the factors of 79075 and 79085 and find the biggest common factor number .

Step-1: Prime Factorization of 79075

Prime factors of 79075 are 5, 3163. Prime factorization of 79075 in exponential form is:

79075 = 5² × 3163¹

Step-2: Prime Factorization of 79085

Prime factors of 79085 are 5, 15817. Prime factorization of 79085 in exponential form is:

79085 = 5¹ × 15817¹

Step-3: Factors of 79075

List of positive integer factors of 79075 that divides 79075 without a remainder.

1, 5, 25, 3163, 15815

Step-4: Factors of 79085

List of positive integer factors of 79085 that divides 79075 without a remainder.

1, 5, 15817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79075 and 79085. The biggest common factor number is the GCF number.
So the greatest common factor 79075 and 79085 is 5.

Also check out the Least Common Multiple of 79075 and 79085