What is the Greatest Common Factor of 95732 and 95745?

Greatest common factor (GCF) of 95732 and 95745 is 13.

GCF(95732,95745) = 13

We will now calculate the prime factors of 95732 and 95745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95732 and 95745.

How to find the GCF of 95732 and 95745?

We will first find the prime factorization of 95732 and 95745. After we will calculate the factors of 95732 and 95745 and find the biggest common factor number .

Step-1: Prime Factorization of 95732

Prime factors of 95732 are 2, 7, 13, 263. Prime factorization of 95732 in exponential form is:

95732 = 2² × 7¹ × 13¹ × 263¹

Step-2: Prime Factorization of 95745

Prime factors of 95745 are 3, 5, 13, 491. Prime factorization of 95745 in exponential form is:

95745 = 3¹ × 5¹ × 13¹ × 491¹

Step-3: Factors of 95732

List of positive integer factors of 95732 that divides 95732 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 263, 364, 526, 1052, 1841, 3419, 3682, 6838, 7364, 13676, 23933, 47866

Step-4: Factors of 95745

List of positive integer factors of 95745 that divides 95732 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 491, 1473, 2455, 6383, 7365, 19149, 31915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95732 and 95745. The biggest common factor number is the GCF number.
So the greatest common factor 95732 and 95745 is 13.

Also check out the Least Common Multiple of 95732 and 95745