What is the Greatest Common Factor of 95025 and 95043?

Greatest common factor (GCF) of 95025 and 95043 is 3.

GCF(95025,95043) = 3

We will now calculate the prime factors of 95025 and 95043, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95025 and 95043.

How to find the GCF of 95025 and 95043?

We will first find the prime factorization of 95025 and 95043. After we will calculate the factors of 95025 and 95043 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 95043

Prime factors of 95043 are 3, 13, 2437. Prime factorization of 95043 in exponential form is:

95043 = 3¹ × 13¹ × 2437¹

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 95043

List of positive integer factors of 95043 that divides 95025 without a remainder.

1, 3, 13, 39, 2437, 7311, 31681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95025 and 95043. The biggest common factor number is the GCF number.
So the greatest common factor 95025 and 95043 is 3.

Also check out the Least Common Multiple of 95025 and 95043