What is the Greatest Common Factor of 95745 and 95757?

Greatest common factor (GCF) of 95745 and 95757 is 3.

GCF(95745,95757) = 3

We will now calculate the prime factors of 95745 and 95757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95745 and 95757.

How to find the GCF of 95745 and 95757?

We will first find the prime factorization of 95745 and 95757. After we will calculate the factors of 95745 and 95757 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 95757

Prime factors of 95757 are 3, 59, 541. Prime factorization of 95757 in exponential form is:

95757 = 3¹ × 59¹ × 541¹

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 95757

List of positive integer factors of 95757 that divides 95745 without a remainder.

1, 3, 59, 177, 541, 1623, 31919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95745 and 95757. The biggest common factor number is the GCF number.
So the greatest common factor 95745 and 95757 is 3.

Also check out the Least Common Multiple of 95745 and 95757