What is the Greatest Common Factor of 89752 and 89771?

Greatest common factor (GCF) of 89752 and 89771 is 1.

GCF(89752,89771) = 1

We will now calculate the prime factors of 89752 and 89771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89752 and 89771.

How to find the GCF of 89752 and 89771?

We will first find the prime factorization of 89752 and 89771. After we will calculate the factors of 89752 and 89771 and find the biggest common factor number .

Step-1: Prime Factorization of 89752

Prime factors of 89752 are 2, 13, 863. Prime factorization of 89752 in exponential form is:

89752 = 2³ × 13¹ × 863¹

Step-2: Prime Factorization of 89771

Prime factors of 89771 are 11, 8161. Prime factorization of 89771 in exponential form is:

89771 = 11¹ × 8161¹

Step-3: Factors of 89752

List of positive integer factors of 89752 that divides 89752 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 863, 1726, 3452, 6904, 11219, 22438, 44876

Step-4: Factors of 89771

List of positive integer factors of 89771 that divides 89752 without a remainder.

1, 11, 8161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89752 and 89771. The biggest common factor number is the GCF number.
So the greatest common factor 89752 and 89771 is 1.

Also check out the Least Common Multiple of 89752 and 89771