What is the Greatest Common Factor of 89739 and 89757?

Greatest common factor (GCF) of 89739 and 89757 is 9.

GCF(89739,89757) = 9

We will now calculate the prime factors of 89739 and 89757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89739 and 89757.

How to find the GCF of 89739 and 89757?

We will first find the prime factorization of 89739 and 89757. After we will calculate the factors of 89739 and 89757 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 89757

Prime factors of 89757 are 3, 9973. Prime factorization of 89757 in exponential form is:

89757 = 3² × 9973¹

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 89757

List of positive integer factors of 89757 that divides 89739 without a remainder.

1, 3, 9, 9973, 29919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89739 and 89757. The biggest common factor number is the GCF number.
So the greatest common factor 89739 and 89757 is 9.

Also check out the Least Common Multiple of 89739 and 89757