What is the Greatest Common Factor of 95007 and 95025?

Greatest common factor (GCF) of 95007 and 95025 is 3.

GCF(95007,95025) = 3

We will now calculate the prime factors of 95007 and 95025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95007 and 95025.

How to find the GCF of 95007 and 95025?

We will first find the prime factorization of 95007 and 95025. After we will calculate the factors of 95007 and 95025 and find the biggest common factor number .

Step-1: Prime Factorization of 95007

Prime factors of 95007 are 3, 11, 2879. Prime factorization of 95007 in exponential form is:

95007 = 3¹ × 11¹ × 2879¹

Step-2: 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-3: Factors of 95007

List of positive integer factors of 95007 that divides 95007 without a remainder.

1, 3, 11, 33, 2879, 8637, 31669

Step-4: Factors of 95025

List of positive integer factors of 95025 that divides 95007 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95007 and 95025. The biggest common factor number is the GCF number.
So the greatest common factor 95007 and 95025 is 3.

Also check out the Least Common Multiple of 95007 and 95025