What is the Greatest Common Factor of 95080 and 95084?

Greatest common factor (GCF) of 95080 and 95084 is 4.

GCF(95080,95084) = 4

We will now calculate the prime factors of 95080 and 95084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95080 and 95084.

How to find the GCF of 95080 and 95084?

We will first find the prime factorization of 95080 and 95084. After we will calculate the factors of 95080 and 95084 and find the biggest common factor number .

Step-1: Prime Factorization of 95080

Prime factors of 95080 are 2, 5, 2377. Prime factorization of 95080 in exponential form is:

95080 = 2³ × 5¹ × 2377¹

Step-2: Prime Factorization of 95084

Prime factors of 95084 are 2, 11, 2161. Prime factorization of 95084 in exponential form is:

95084 = 2² × 11¹ × 2161¹

Step-3: Factors of 95080

List of positive integer factors of 95080 that divides 95080 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2377, 4754, 9508, 11885, 19016, 23770, 47540

Step-4: Factors of 95084

List of positive integer factors of 95084 that divides 95080 without a remainder.

1, 2, 4, 11, 22, 44, 2161, 4322, 8644, 23771, 47542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95080 and 95084. The biggest common factor number is the GCF number.
So the greatest common factor 95080 and 95084 is 4.

Also check out the Least Common Multiple of 95080 and 95084