What is the Greatest Common Factor of 89665 and 89677?

Greatest common factor (GCF) of 89665 and 89677 is 1.

GCF(89665,89677) = 1

We will now calculate the prime factors of 89665 and 89677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89665 and 89677.

How to find the GCF of 89665 and 89677?

We will first find the prime factorization of 89665 and 89677. After we will calculate the factors of 89665 and 89677 and find the biggest common factor number .

Step-1: Prime Factorization of 89665

Prime factors of 89665 are 5, 79, 227. Prime factorization of 89665 in exponential form is:

89665 = 5¹ × 79¹ × 227¹

Step-2: Prime Factorization of 89677

Prime factors of 89677 are 7, 23, 557. Prime factorization of 89677 in exponential form is:

89677 = 7¹ × 23¹ × 557¹

Step-3: Factors of 89665

List of positive integer factors of 89665 that divides 89665 without a remainder.

1, 5, 79, 227, 395, 1135, 17933

Step-4: Factors of 89677

List of positive integer factors of 89677 that divides 89665 without a remainder.

1, 7, 23, 161, 557, 3899, 12811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89665 and 89677. The biggest common factor number is the GCF number.
So the greatest common factor 89665 and 89677 is 1.

Also check out the Least Common Multiple of 89665 and 89677