What is the Greatest Common Factor of 89873 and 89887?

Greatest common factor (GCF) of 89873 and 89887 is 7.

GCF(89873,89887) = 7

We will now calculate the prime factors of 89873 and 89887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89873 and 89887.

How to find the GCF of 89873 and 89887?

We will first find the prime factorization of 89873 and 89887. After we will calculate the factors of 89873 and 89887 and find the biggest common factor number .

Step-1: Prime Factorization of 89873

Prime factors of 89873 are 7, 37, 347. Prime factorization of 89873 in exponential form is:

89873 = 7¹ × 37¹ × 347¹

Step-2: Prime Factorization of 89887

Prime factors of 89887 are 7, 12841. Prime factorization of 89887 in exponential form is:

89887 = 7¹ × 12841¹

Step-3: Factors of 89873

List of positive integer factors of 89873 that divides 89873 without a remainder.

1, 7, 37, 259, 347, 2429, 12839

Step-4: Factors of 89887

List of positive integer factors of 89887 that divides 89873 without a remainder.

1, 7, 12841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89873 and 89887. The biggest common factor number is the GCF number.
So the greatest common factor 89873 and 89887 is 7.

Also check out the Least Common Multiple of 89873 and 89887