What is the Greatest Common Factor of 89739 and 89745?

Greatest common factor (GCF) of 89739 and 89745 is 3.

GCF(89739,89745) = 3

We will now calculate the prime factors of 89739 and 89745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89739 and 89745.

How to find the GCF of 89739 and 89745?

We will first find the prime factorization of 89739 and 89745. After we will calculate the factors of 89739 and 89745 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 89745

Prime factors of 89745 are 3, 5, 31, 193. Prime factorization of 89745 in exponential form is:

89745 = 3¹ × 5¹ × 31¹ × 193¹

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 89745

List of positive integer factors of 89745 that divides 89739 without a remainder.

1, 3, 5, 15, 31, 93, 155, 193, 465, 579, 965, 2895, 5983, 17949, 29915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89739 and 89745. The biggest common factor number is the GCF number.
So the greatest common factor 89739 and 89745 is 3.

Also check out the Least Common Multiple of 89739 and 89745