What is the Greatest Common Factor of 95725 and 95735?

Greatest common factor (GCF) of 95725 and 95735 is 5.

GCF(95725,95735) = 5

We will now calculate the prime factors of 95725 and 95735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95725 and 95735.

How to find the GCF of 95725 and 95735?

We will first find the prime factorization of 95725 and 95735. After we will calculate the factors of 95725 and 95735 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95735

Prime factors of 95735 are 5, 41, 467. Prime factorization of 95735 in exponential form is:

95735 = 5¹ × 41¹ × 467¹

Step-3: Factors of 95725

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

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

Step-4: Factors of 95735

List of positive integer factors of 95735 that divides 95725 without a remainder.

1, 5, 41, 205, 467, 2335, 19147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95725 and 95735. The biggest common factor number is the GCF number.
So the greatest common factor 95725 and 95735 is 5.

Also check out the Least Common Multiple of 95725 and 95735