What is the Greatest Common Factor of 51380 and 51394?

Greatest common factor (GCF) of 51380 and 51394 is 14.

GCF(51380,51394) = 14

We will now calculate the prime factors of 51380 and 51394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51380 and 51394.

How to find the GCF of 51380 and 51394?

We will first find the prime factorization of 51380 and 51394. After we will calculate the factors of 51380 and 51394 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 51394

Prime factors of 51394 are 2, 7, 3671. Prime factorization of 51394 in exponential form is:

51394 = 2¹ × 7¹ × 3671¹

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 51394

List of positive integer factors of 51394 that divides 51380 without a remainder.

1, 2, 7, 14, 3671, 7342, 25697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51380 and 51394. The biggest common factor number is the GCF number.
So the greatest common factor 51380 and 51394 is 14.

Also check out the Least Common Multiple of 51380 and 51394