What is the Greatest Common Factor of 95748 and 95763?

Greatest common factor (GCF) of 95748 and 95763 is 3.

GCF(95748,95763) = 3

We will now calculate the prime factors of 95748 and 95763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95748 and 95763.

How to find the GCF of 95748 and 95763?

We will first find the prime factorization of 95748 and 95763. After we will calculate the factors of 95748 and 95763 and find the biggest common factor number .

Step-1: Prime Factorization of 95748

Prime factors of 95748 are 2, 3, 79, 101. Prime factorization of 95748 in exponential form is:

95748 = 2² × 3¹ × 79¹ × 101¹

Step-2: Prime Factorization of 95763

Prime factors of 95763 are 3, 137, 233. Prime factorization of 95763 in exponential form is:

95763 = 3¹ × 137¹ × 233¹

Step-3: Factors of 95748

List of positive integer factors of 95748 that divides 95748 without a remainder.

1, 2, 3, 4, 6, 12, 79, 101, 158, 202, 237, 303, 316, 404, 474, 606, 948, 1212, 7979, 15958, 23937, 31916, 47874

Step-4: Factors of 95763

List of positive integer factors of 95763 that divides 95748 without a remainder.

1, 3, 137, 233, 411, 699, 31921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95748 and 95763. The biggest common factor number is the GCF number.
So the greatest common factor 95748 and 95763 is 3.

Also check out the Least Common Multiple of 95748 and 95763