What is the Greatest Common Factor of 89971 and 89990?

Greatest common factor (GCF) of 89971 and 89990 is 1.

GCF(89971,89990) = 1

We will now calculate the prime factors of 89971 and 89990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89971 and 89990.

How to find the GCF of 89971 and 89990?

We will first find the prime factorization of 89971 and 89990. After we will calculate the factors of 89971 and 89990 and find the biggest common factor number .

Step-1: Prime Factorization of 89971

Prime factors of 89971 are 7, 12853. Prime factorization of 89971 in exponential form is:

89971 = 7¹ × 12853¹

Step-2: Prime Factorization of 89990

Prime factors of 89990 are 2, 5, 8999. Prime factorization of 89990 in exponential form is:

89990 = 2¹ × 5¹ × 8999¹

Step-3: Factors of 89971

List of positive integer factors of 89971 that divides 89971 without a remainder.

1, 7, 12853

Step-4: Factors of 89990

List of positive integer factors of 89990 that divides 89971 without a remainder.

1, 2, 5, 10, 8999, 17998, 44995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89971 and 89990. The biggest common factor number is the GCF number.
So the greatest common factor 89971 and 89990 is 1.

Also check out the Least Common Multiple of 89971 and 89990