What is the Greatest Common Factor of 51380 and 51385?

Greatest common factor (GCF) of 51380 and 51385 is 5.

GCF(51380,51385) = 5

We will now calculate the prime factors of 51380 and 51385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51380 and 51385.

How to find the GCF of 51380 and 51385?

We will first find the prime factorization of 51380 and 51385. After we will calculate the factors of 51380 and 51385 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 51385

Prime factors of 51385 are 5, 43, 239. Prime factorization of 51385 in exponential form is:

51385 = 5¹ × 43¹ × 239¹

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 51385

List of positive integer factors of 51385 that divides 51380 without a remainder.

1, 5, 43, 215, 239, 1195, 10277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51380 and 51385. The biggest common factor number is the GCF number.
So the greatest common factor 51380 and 51385 is 5.

Also check out the Least Common Multiple of 51380 and 51385