What is the Greatest Common Factor of 51390 and 51395?

Greatest common factor (GCF) of 51390 and 51395 is 5.

GCF(51390,51395) = 5

We will now calculate the prime factors of 51390 and 51395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51390 and 51395.

How to find the GCF of 51390 and 51395?

We will first find the prime factorization of 51390 and 51395. After we will calculate the factors of 51390 and 51395 and find the biggest common factor number .

Step-1: Prime Factorization of 51390

Prime factors of 51390 are 2, 3, 5, 571. Prime factorization of 51390 in exponential form is:

51390 = 2¹ × 3² × 5¹ × 571¹

Step-2: Prime Factorization of 51395

Prime factors of 51395 are 5, 19, 541. Prime factorization of 51395 in exponential form is:

51395 = 5¹ × 19¹ × 541¹

Step-3: Factors of 51390

List of positive integer factors of 51390 that divides 51390 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 571, 1142, 1713, 2855, 3426, 5139, 5710, 8565, 10278, 17130, 25695

Step-4: Factors of 51395

List of positive integer factors of 51395 that divides 51390 without a remainder.

1, 5, 19, 95, 541, 2705, 10279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51390 and 51395. The biggest common factor number is the GCF number.
So the greatest common factor 51390 and 51395 is 5.

Also check out the Least Common Multiple of 51390 and 51395