What is the Greatest Common Factor of 95705 and 95725?

Greatest common factor (GCF) of 95705 and 95725 is 5.

GCF(95705,95725) = 5

We will now calculate the prime factors of 95705 and 95725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95705 and 95725.

How to find the GCF of 95705 and 95725?

We will first find the prime factorization of 95705 and 95725. After we will calculate the factors of 95705 and 95725 and find the biggest common factor number .

Step-1: Prime Factorization of 95705

Prime factors of 95705 are 5, 19141. Prime factorization of 95705 in exponential form is:

95705 = 5¹ × 19141¹

Step-2: Prime Factorization of 95725

Prime factors of 95725 are 5, 7, 547. Prime factorization of 95725 in exponential form is:

95725 = 5² × 7¹ × 547¹

Step-3: Factors of 95705

List of positive integer factors of 95705 that divides 95705 without a remainder.

1, 5, 19141

Step-4: Factors of 95725

List of positive integer factors of 95725 that divides 95705 without a remainder.

1, 5, 7, 25, 35, 175, 547, 2735, 3829, 13675, 19145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95705 and 95725. The biggest common factor number is the GCF number.
So the greatest common factor 95705 and 95725 is 5.

Also check out the Least Common Multiple of 95705 and 95725