What is the Greatest Common Factor of 95025 and 95038?

Greatest common factor (GCF) of 95025 and 95038 is 1.

GCF(95025,95038) = 1

We will now calculate the prime factors of 95025 and 95038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95025 and 95038.

How to find the GCF of 95025 and 95038?

We will first find the prime factorization of 95025 and 95038. After we will calculate the factors of 95025 and 95038 and find the biggest common factor number .

Step-1: Prime Factorization of 95025

Prime factors of 95025 are 3, 5, 7, 181. Prime factorization of 95025 in exponential form is:

95025 = 3¹ × 5² × 7¹ × 181¹

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 95025

List of positive integer factors of 95025 that divides 95025 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 181, 525, 543, 905, 1267, 2715, 3801, 4525, 6335, 13575, 19005, 31675

Step-4: Factors of 95038

List of positive integer factors of 95038 that divides 95025 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 95025 and 95038. The biggest common factor number is the GCF number.
So the greatest common factor 95025 and 95038 is 1.

Also check out the Least Common Multiple of 95025 and 95038