What is the Greatest Common Factor of 95025 and 95031?

Greatest common factor (GCF) of 95025 and 95031 is 3.

GCF(95025,95031) = 3

We will now calculate the prime factors of 95025 and 95031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95025 and 95031.

How to find the GCF of 95025 and 95031?

We will first find the prime factorization of 95025 and 95031. After we will calculate the factors of 95025 and 95031 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 95031

Prime factors of 95031 are 3, 10559. Prime factorization of 95031 in exponential form is:

95031 = 3² × 10559¹

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 95031

List of positive integer factors of 95031 that divides 95025 without a remainder.

1, 3, 9, 10559, 31677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95025 and 95031. The biggest common factor number is the GCF number.
So the greatest common factor 95025 and 95031 is 3.

Also check out the Least Common Multiple of 95025 and 95031