What is the Greatest Common Factor of 51065 and 51069?

Greatest common factor (GCF) of 51065 and 51069 is 1.

GCF(51065,51069) = 1

We will now calculate the prime factors of 51065 and 51069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51065 and 51069.

How to find the GCF of 51065 and 51069?

We will first find the prime factorization of 51065 and 51069. After we will calculate the factors of 51065 and 51069 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 51069

Prime factors of 51069 are 3, 29, 587. Prime factorization of 51069 in exponential form is:

51069 = 3¹ × 29¹ × 587¹

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 51069

List of positive integer factors of 51069 that divides 51065 without a remainder.

1, 3, 29, 87, 587, 1761, 17023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51065 and 51069. The biggest common factor number is the GCF number.
So the greatest common factor 51065 and 51069 is 1.

Also check out the Least Common Multiple of 51065 and 51069