What is the Greatest Common Factor of 95745 and 95758?

Greatest common factor (GCF) of 95745 and 95758 is 13.

GCF(95745,95758) = 13

We will now calculate the prime factors of 95745 and 95758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95745 and 95758.

How to find the GCF of 95745 and 95758?

We will first find the prime factorization of 95745 and 95758. After we will calculate the factors of 95745 and 95758 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 95758

Prime factors of 95758 are 2, 13, 29, 127. Prime factorization of 95758 in exponential form is:

95758 = 2¹ × 13¹ × 29¹ × 127¹

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 95758

List of positive integer factors of 95758 that divides 95745 without a remainder.

1, 2, 13, 26, 29, 58, 127, 254, 377, 754, 1651, 3302, 3683, 7366, 47879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95745 and 95758. The biggest common factor number is the GCF number.
So the greatest common factor 95745 and 95758 is 13.

Also check out the Least Common Multiple of 95745 and 95758