What is the Greatest Common Factor of 51380 and 51390?

Greatest common factor (GCF) of 51380 and 51390 is 10.

GCF(51380,51390) = 10

We will now calculate the prime factors of 51380 and 51390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51380 and 51390.

How to find the GCF of 51380 and 51390?

We will first find the prime factorization of 51380 and 51390. After we will calculate the factors of 51380 and 51390 and find the biggest common factor number .

Step-1: Prime Factorization of 51380

Prime factors of 51380 are 2, 5, 7, 367. Prime factorization of 51380 in exponential form is:

51380 = 2² × 5¹ × 7¹ × 367¹

Step-2: 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-3: Factors of 51380

List of positive integer factors of 51380 that divides 51380 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 367, 734, 1468, 1835, 2569, 3670, 5138, 7340, 10276, 12845, 25690

Step-4: Factors of 51390

List of positive integer factors of 51390 that divides 51380 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51380 and 51390. The biggest common factor number is the GCF number.
So the greatest common factor 51380 and 51390 is 10.

Also check out the Least Common Multiple of 51380 and 51390