What is the Greatest Common Factor of 95715 and 95735?

Greatest common factor (GCF) of 95715 and 95735 is 5.

GCF(95715,95735) = 5

We will now calculate the prime factors of 95715 and 95735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95715 and 95735.

How to find the GCF of 95715 and 95735?

We will first find the prime factorization of 95715 and 95735. After we will calculate the factors of 95715 and 95735 and find the biggest common factor number .

Step-1: Prime Factorization of 95715

Prime factors of 95715 are 3, 5, 709. Prime factorization of 95715 in exponential form is:

95715 = 3³ × 5¹ × 709¹

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 95715

List of positive integer factors of 95715 that divides 95715 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 709, 2127, 3545, 6381, 10635, 19143, 31905

Step-4: Factors of 95735

List of positive integer factors of 95735 that divides 95715 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95715 and 95735. The biggest common factor number is the GCF number.
So the greatest common factor 95715 and 95735 is 5.

Also check out the Least Common Multiple of 95715 and 95735