What is the Greatest Common Factor of 95752 and 95771?

Greatest common factor (GCF) of 95752 and 95771 is 1.

GCF(95752,95771) = 1

We will now calculate the prime factors of 95752 and 95771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95752 and 95771.

How to find the GCF of 95752 and 95771?

We will first find the prime factorization of 95752 and 95771. After we will calculate the factors of 95752 and 95771 and find the biggest common factor number .

Step-1: Prime Factorization of 95752

Prime factors of 95752 are 2, 11969. Prime factorization of 95752 in exponential form is:

95752 = 2³ × 11969¹

Step-2: Prime Factorization of 95771

Prime factors of 95771 are 13, 53, 139. Prime factorization of 95771 in exponential form is:

95771 = 13¹ × 53¹ × 139¹

Step-3: Factors of 95752

List of positive integer factors of 95752 that divides 95752 without a remainder.

1, 2, 4, 8, 11969, 23938, 47876

Step-4: Factors of 95771

List of positive integer factors of 95771 that divides 95752 without a remainder.

1, 13, 53, 139, 689, 1807, 7367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95752 and 95771. The biggest common factor number is the GCF number.
So the greatest common factor 95752 and 95771 is 1.

Also check out the Least Common Multiple of 95752 and 95771