What is the Greatest Common Factor of 89752 and 89766?

Greatest common factor (GCF) of 89752 and 89766 is 2.

GCF(89752,89766) = 2

We will now calculate the prime factors of 89752 and 89766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89752 and 89766.

How to find the GCF of 89752 and 89766?

We will first find the prime factorization of 89752 and 89766. After we will calculate the factors of 89752 and 89766 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 89766

Prime factors of 89766 are 2, 3, 4987. Prime factorization of 89766 in exponential form is:

89766 = 2¹ × 3² × 4987¹

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 89766

List of positive integer factors of 89766 that divides 89752 without a remainder.

1, 2, 3, 6, 9, 18, 4987, 9974, 14961, 29922, 44883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89752 and 89766. The biggest common factor number is the GCF number.
So the greatest common factor 89752 and 89766 is 2.

Also check out the Least Common Multiple of 89752 and 89766