What is the Greatest Common Factor of 51390 and 51400?

Greatest common factor (GCF) of 51390 and 51400 is 10.

GCF(51390,51400) = 10

We will now calculate the prime factors of 51390 and 51400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51390 and 51400.

How to find the GCF of 51390 and 51400?

We will first find the prime factorization of 51390 and 51400. After we will calculate the factors of 51390 and 51400 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 51400

Prime factors of 51400 are 2, 5, 257. Prime factorization of 51400 in exponential form is:

51400 = 2³ × 5² × 257¹

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 51400

List of positive integer factors of 51400 that divides 51390 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 257, 514, 1028, 1285, 2056, 2570, 5140, 6425, 10280, 12850, 25700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51390 and 51400. The biggest common factor number is the GCF number.
So the greatest common factor 51390 and 51400 is 10.

Also check out the Least Common Multiple of 51390 and 51400