What is the Greatest Common Factor of 95020 and 95038?

Greatest common factor (GCF) of 95020 and 95038 is 2.

GCF(95020,95038) = 2

We will now calculate the prime factors of 95020 and 95038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95020 and 95038.

How to find the GCF of 95020 and 95038?

We will first find the prime factorization of 95020 and 95038. After we will calculate the factors of 95020 and 95038 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 95038

Prime factors of 95038 are 2, 19, 41, 61. Prime factorization of 95038 in exponential form is:

95038 = 2¹ × 19¹ × 41¹ × 61¹

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 95038

List of positive integer factors of 95038 that divides 95020 without a remainder.

1, 2, 19, 38, 41, 61, 82, 122, 779, 1159, 1558, 2318, 2501, 5002, 47519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95020 and 95038. The biggest common factor number is the GCF number.
So the greatest common factor 95020 and 95038 is 2.

Also check out the Least Common Multiple of 95020 and 95038