What is the Greatest Common Factor of 89739 and 89752?

Greatest common factor (GCF) of 89739 and 89752 is 13.

GCF(89739,89752) = 13

We will now calculate the prime factors of 89739 and 89752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89739 and 89752.

How to find the GCF of 89739 and 89752?

We will first find the prime factorization of 89739 and 89752. After we will calculate the factors of 89739 and 89752 and find the biggest common factor number .

Step-1: Prime Factorization of 89739

Prime factors of 89739 are 3, 13, 59. Prime factorization of 89739 in exponential form is:

89739 = 3² × 13² × 59¹

Step-2: 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-3: Factors of 89739

List of positive integer factors of 89739 that divides 89739 without a remainder.

1, 3, 9, 13, 39, 59, 117, 169, 177, 507, 531, 767, 1521, 2301, 6903, 9971, 29913

Step-4: Factors of 89752

List of positive integer factors of 89752 that divides 89739 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89739 and 89752. The biggest common factor number is the GCF number.
So the greatest common factor 89739 and 89752 is 13.

Also check out the Least Common Multiple of 89739 and 89752