What is the Greatest Common Factor of 92380 and 92384?

Greatest common factor (GCF) of 92380 and 92384 is 4.

GCF(92380,92384) = 4

We will now calculate the prime factors of 92380 and 92384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92380 and 92384.

How to find the GCF of 92380 and 92384?

We will first find the prime factorization of 92380 and 92384. After we will calculate the factors of 92380 and 92384 and find the biggest common factor number .

Step-1: Prime Factorization of 92380

Prime factors of 92380 are 2, 5, 31, 149. Prime factorization of 92380 in exponential form is:

92380 = 2² × 5¹ × 31¹ × 149¹

Step-2: Prime Factorization of 92384

Prime factors of 92384 are 2, 2887. Prime factorization of 92384 in exponential form is:

92384 = 2⁵ × 2887¹

Step-3: Factors of 92380

List of positive integer factors of 92380 that divides 92380 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 149, 155, 298, 310, 596, 620, 745, 1490, 2980, 4619, 9238, 18476, 23095, 46190

Step-4: Factors of 92384

List of positive integer factors of 92384 that divides 92380 without a remainder.

1, 2, 4, 8, 16, 32, 2887, 5774, 11548, 23096, 46192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92380 and 92384. The biggest common factor number is the GCF number.
So the greatest common factor 92380 and 92384 is 4.

Also check out the Least Common Multiple of 92380 and 92384