What is the Greatest Common Factor of 95739 and 95748?

Greatest common factor (GCF) of 95739 and 95748 is 3.

GCF(95739,95748) = 3

We will now calculate the prime factors of 95739 and 95748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95739 and 95748.

How to find the GCF of 95739 and 95748?

We will first find the prime factorization of 95739 and 95748. After we will calculate the factors of 95739 and 95748 and find the biggest common factor number .

Step-1: Prime Factorization of 95739

Prime factors of 95739 are 3, 7, 47, 97. Prime factorization of 95739 in exponential form is:

95739 = 3¹ × 7¹ × 47¹ × 97¹

Step-2: 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-3: Factors of 95739

List of positive integer factors of 95739 that divides 95739 without a remainder.

1, 3, 7, 21, 47, 97, 141, 291, 329, 679, 987, 2037, 4559, 13677, 31913

Step-4: Factors of 95748

List of positive integer factors of 95748 that divides 95739 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95739 and 95748. The biggest common factor number is the GCF number.
So the greatest common factor 95739 and 95748 is 3.

Also check out the Least Common Multiple of 95739 and 95748