What is the Greatest Common Factor of 95020 and 95024?

Greatest common factor (GCF) of 95020 and 95024 is 4.

GCF(95020,95024) = 4

We will now calculate the prime factors of 95020 and 95024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95020 and 95024.

How to find the GCF of 95020 and 95024?

We will first find the prime factorization of 95020 and 95024. After we will calculate the factors of 95020 and 95024 and find the biggest common factor number .

Step-1: Prime Factorization of 95020

Prime factors of 95020 are 2, 5, 4751. Prime factorization of 95020 in exponential form is:

95020 = 2² × 5¹ × 4751¹

Step-2: Prime Factorization of 95024

Prime factors of 95024 are 2, 5939. Prime factorization of 95024 in exponential form is:

95024 = 2⁴ × 5939¹

Step-3: Factors of 95020

List of positive integer factors of 95020 that divides 95020 without a remainder.

1, 2, 4, 5, 10, 20, 4751, 9502, 19004, 23755, 47510

Step-4: Factors of 95024

List of positive integer factors of 95024 that divides 95020 without a remainder.

1, 2, 4, 8, 16, 5939, 11878, 23756, 47512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95020 and 95024. The biggest common factor number is the GCF number.
So the greatest common factor 95020 and 95024 is 4.

Also check out the Least Common Multiple of 95020 and 95024