What is the Greatest Common Factor of 95744 and 95749?

Greatest common factor (GCF) of 95744 and 95749 is 1.

GCF(95744,95749) = 1

We will now calculate the prime factors of 95744 and 95749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95744 and 95749.

How to find the GCF of 95744 and 95749?

We will first find the prime factorization of 95744 and 95749. After we will calculate the factors of 95744 and 95749 and find the biggest common factor number .

Step-1: Prime Factorization of 95744

Prime factors of 95744 are 2, 11, 17. Prime factorization of 95744 in exponential form is:

95744 = 2⁹ × 11¹ × 17¹

Step-2: Prime Factorization of 95749

Prime factors of 95749 are 23, 181. Prime factorization of 95749 in exponential form is:

95749 = 23² × 181¹

Step-3: Factors of 95744

List of positive integer factors of 95744 that divides 95744 without a remainder.

1, 2, 4, 8, 11, 16, 17, 22, 32, 34, 44, 64, 68, 88, 128, 136, 176, 187, 256, 272, 352, 374, 512, 544, 704, 748, 1088, 1408, 1496, 2176, 2816, 2992, 4352, 5632, 5984, 8704, 11968, 23936, 47872

Step-4: Factors of 95749

List of positive integer factors of 95749 that divides 95744 without a remainder.

1, 23, 181, 529, 4163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95744 and 95749. The biggest common factor number is the GCF number.
So the greatest common factor 95744 and 95749 is 1.

Also check out the Least Common Multiple of 95744 and 95749