What is the Greatest Common Factor of 89735 and 89739?

Greatest common factor (GCF) of 89735 and 89739 is 1.

GCF(89735,89739) = 1

We will now calculate the prime factors of 89735 and 89739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89735 and 89739.

How to find the GCF of 89735 and 89739?

We will first find the prime factorization of 89735 and 89739. After we will calculate the factors of 89735 and 89739 and find the biggest common factor number .

Step-1: Prime Factorization of 89735

Prime factors of 89735 are 5, 131, 137. Prime factorization of 89735 in exponential form is:

89735 = 5¹ × 131¹ × 137¹

Step-2: 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-3: Factors of 89735

List of positive integer factors of 89735 that divides 89735 without a remainder.

1, 5, 131, 137, 655, 685, 17947

Step-4: Factors of 89739

List of positive integer factors of 89739 that divides 89735 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89735 and 89739. The biggest common factor number is the GCF number.
So the greatest common factor 89735 and 89739 is 1.

Also check out the Least Common Multiple of 89735 and 89739