What is the Greatest Common Factor of 51366 and 51380?

Greatest common factor (GCF) of 51366 and 51380 is 14.

GCF(51366,51380) = 14

We will now calculate the prime factors of 51366 and 51380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51366 and 51380.

How to find the GCF of 51366 and 51380?

We will first find the prime factorization of 51366 and 51380. After we will calculate the factors of 51366 and 51380 and find the biggest common factor number .

Step-1: Prime Factorization of 51366

Prime factors of 51366 are 2, 3, 7, 1223. Prime factorization of 51366 in exponential form is:

51366 = 2¹ × 3¹ × 7¹ × 1223¹

Step-2: 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-3: Factors of 51366

List of positive integer factors of 51366 that divides 51366 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1223, 2446, 3669, 7338, 8561, 17122, 25683

Step-4: Factors of 51380

List of positive integer factors of 51380 that divides 51366 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51366 and 51380. The biggest common factor number is the GCF number.
So the greatest common factor 51366 and 51380 is 14.

Also check out the Least Common Multiple of 51366 and 51380