What is the Greatest Common Factor of 88723 and 88741?

Greatest common factor (GCF) of 88723 and 88741 is 1.

GCF(88723,88741) = 1

We will now calculate the prime factors of 88723 and 88741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88723 and 88741.

How to find the GCF of 88723 and 88741?

We will first find the prime factorization of 88723 and 88741. After we will calculate the factors of 88723 and 88741 and find the biggest common factor number .

Step-1: Prime Factorization of 88723

Prime factors of 88723 are 17, 307. Prime factorization of 88723 in exponential form is:

88723 = 17² × 307¹

Step-2: Prime Factorization of 88741

Prime factors of 88741 are 88741. Prime factorization of 88741 in exponential form is:

88741 = 88741¹

Step-3: Factors of 88723

List of positive integer factors of 88723 that divides 88723 without a remainder.

1, 17, 289, 307, 5219

Step-4: Factors of 88741

List of positive integer factors of 88741 that divides 88723 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88723 and 88741. The biggest common factor number is the GCF number.
So the greatest common factor 88723 and 88741 is 1.

Also check out the Least Common Multiple of 88723 and 88741