What is the Greatest Common Factor of 95380 and 95384?

Greatest common factor (GCF) of 95380 and 95384 is 4.

GCF(95380,95384) = 4

We will now calculate the prime factors of 95380 and 95384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95380 and 95384.

How to find the GCF of 95380 and 95384?

We will first find the prime factorization of 95380 and 95384. After we will calculate the factors of 95380 and 95384 and find the biggest common factor number .

Step-1: Prime Factorization of 95380

Prime factors of 95380 are 2, 5, 19, 251. Prime factorization of 95380 in exponential form is:

95380 = 2² × 5¹ × 19¹ × 251¹

Step-2: Prime Factorization of 95384

Prime factors of 95384 are 2, 11923. Prime factorization of 95384 in exponential form is:

95384 = 2³ × 11923¹

Step-3: Factors of 95380

List of positive integer factors of 95380 that divides 95380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 251, 380, 502, 1004, 1255, 2510, 4769, 5020, 9538, 19076, 23845, 47690

Step-4: Factors of 95384

List of positive integer factors of 95384 that divides 95380 without a remainder.

1, 2, 4, 8, 11923, 23846, 47692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95380 and 95384. The biggest common factor number is the GCF number.
So the greatest common factor 95380 and 95384 is 4.

Also check out the Least Common Multiple of 95380 and 95384