What is the Greatest Common Factor of 51065 and 51085?

Greatest common factor (GCF) of 51065 and 51085 is 5.

GCF(51065,51085) = 5

We will now calculate the prime factors of 51065 and 51085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51065 and 51085.

How to find the GCF of 51065 and 51085?

We will first find the prime factorization of 51065 and 51085. After we will calculate the factors of 51065 and 51085 and find the biggest common factor number .

Step-1: Prime Factorization of 51065

Prime factors of 51065 are 5, 7, 1459. Prime factorization of 51065 in exponential form is:

51065 = 5¹ × 7¹ × 1459¹

Step-2: Prime Factorization of 51085

Prime factors of 51085 are 5, 17, 601. Prime factorization of 51085 in exponential form is:

51085 = 5¹ × 17¹ × 601¹

Step-3: Factors of 51065

List of positive integer factors of 51065 that divides 51065 without a remainder.

1, 5, 7, 35, 1459, 7295, 10213

Step-4: Factors of 51085

List of positive integer factors of 51085 that divides 51065 without a remainder.

1, 5, 17, 85, 601, 3005, 10217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51065 and 51085. The biggest common factor number is the GCF number.
So the greatest common factor 51065 and 51085 is 5.

Also check out the Least Common Multiple of 51065 and 51085