What is the Greatest Common Factor of 95745 and 95762?

Greatest common factor (GCF) of 95745 and 95762 is 1.

GCF(95745,95762) = 1

We will now calculate the prime factors of 95745 and 95762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95745 and 95762.

How to find the GCF of 95745 and 95762?

We will first find the prime factorization of 95745 and 95762. After we will calculate the factors of 95745 and 95762 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95762

Prime factors of 95762 are 2, 47881. Prime factorization of 95762 in exponential form is:

95762 = 2¹ × 47881¹

Step-3: Factors of 95745

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

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

Step-4: Factors of 95762

List of positive integer factors of 95762 that divides 95745 without a remainder.

1, 2, 47881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95745 and 95762. The biggest common factor number is the GCF number.
So the greatest common factor 95745 and 95762 is 1.

Also check out the Least Common Multiple of 95745 and 95762