What is the Greatest Common Factor of 47364 and 47380?

Greatest common factor (GCF) of 47364 and 47380 is 4.

GCF(47364,47380) = 4

We will now calculate the prime factors of 47364 and 47380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47364 and 47380.

How to find the GCF of 47364 and 47380?

We will first find the prime factorization of 47364 and 47380. After we will calculate the factors of 47364 and 47380 and find the biggest common factor number .

Step-1: Prime Factorization of 47364

Prime factors of 47364 are 2, 3, 3947. Prime factorization of 47364 in exponential form is:

47364 = 2² × 3¹ × 3947¹

Step-2: Prime Factorization of 47380

Prime factors of 47380 are 2, 5, 23, 103. Prime factorization of 47380 in exponential form is:

47380 = 2² × 5¹ × 23¹ × 103¹

Step-3: Factors of 47364

List of positive integer factors of 47364 that divides 47364 without a remainder.

1, 2, 3, 4, 6, 12, 3947, 7894, 11841, 15788, 23682

Step-4: Factors of 47380

List of positive integer factors of 47380 that divides 47364 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 103, 115, 206, 230, 412, 460, 515, 1030, 2060, 2369, 4738, 9476, 11845, 23690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47364 and 47380. The biggest common factor number is the GCF number.
So the greatest common factor 47364 and 47380 is 4.

Also check out the Least Common Multiple of 47364 and 47380