What is the Greatest Common Factor of 89896 and 89905?

Greatest common factor (GCF) of 89896 and 89905 is 1.

GCF(89896,89905) = 1

We will now calculate the prime factors of 89896 and 89905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89896 and 89905.

How to find the GCF of 89896 and 89905?

We will first find the prime factorization of 89896 and 89905. After we will calculate the factors of 89896 and 89905 and find the biggest common factor number .

Step-1: Prime Factorization of 89896

Prime factors of 89896 are 2, 17, 661. Prime factorization of 89896 in exponential form is:

89896 = 2³ × 17¹ × 661¹

Step-2: Prime Factorization of 89905

Prime factors of 89905 are 5, 17981. Prime factorization of 89905 in exponential form is:

89905 = 5¹ × 17981¹

Step-3: Factors of 89896

List of positive integer factors of 89896 that divides 89896 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 661, 1322, 2644, 5288, 11237, 22474, 44948

Step-4: Factors of 89905

List of positive integer factors of 89905 that divides 89896 without a remainder.

1, 5, 17981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89896 and 89905. The biggest common factor number is the GCF number.
So the greatest common factor 89896 and 89905 is 1.

Also check out the Least Common Multiple of 89896 and 89905