What is the Greatest Common Factor of 51380 and 51396?

Greatest common factor (GCF) of 51380 and 51396 is 4.

GCF(51380,51396) = 4

We will now calculate the prime factors of 51380 and 51396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51380 and 51396.

How to find the GCF of 51380 and 51396?

We will first find the prime factorization of 51380 and 51396. After we will calculate the factors of 51380 and 51396 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 51396

Prime factors of 51396 are 2, 3, 4283. Prime factorization of 51396 in exponential form is:

51396 = 2² × 3¹ × 4283¹

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 51396

List of positive integer factors of 51396 that divides 51380 without a remainder.

1, 2, 3, 4, 6, 12, 4283, 8566, 12849, 17132, 25698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51380 and 51396. The biggest common factor number is the GCF number.
So the greatest common factor 51380 and 51396 is 4.

Also check out the Least Common Multiple of 51380 and 51396