What is the Greatest Common Factor of 95025 and 95045?

Greatest common factor (GCF) of 95025 and 95045 is 5.

GCF(95025,95045) = 5

We will now calculate the prime factors of 95025 and 95045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95025 and 95045.

How to find the GCF of 95025 and 95045?

We will first find the prime factorization of 95025 and 95045. After we will calculate the factors of 95025 and 95045 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 95045

Prime factors of 95045 are 5, 19009. Prime factorization of 95045 in exponential form is:

95045 = 5¹ × 19009¹

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 95045

List of positive integer factors of 95045 that divides 95025 without a remainder.

1, 5, 19009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95025 and 95045. The biggest common factor number is the GCF number.
So the greatest common factor 95025 and 95045 is 5.

Also check out the Least Common Multiple of 95025 and 95045