What is the Greatest Common Factor of 89987 and 90005?

Greatest common factor (GCF) of 89987 and 90005 is 1.

GCF(89987,90005) = 1

We will now calculate the prime factors of 89987 and 90005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89987 and 90005.

How to find the GCF of 89987 and 90005?

We will first find the prime factorization of 89987 and 90005. After we will calculate the factors of 89987 and 90005 and find the biggest common factor number .

Step-1: Prime Factorization of 89987

Prime factors of 89987 are 29, 107. Prime factorization of 89987 in exponential form is:

89987 = 29² × 107¹

Step-2: Prime Factorization of 90005

Prime factors of 90005 are 5, 47, 383. Prime factorization of 90005 in exponential form is:

90005 = 5¹ × 47¹ × 383¹

Step-3: Factors of 89987

List of positive integer factors of 89987 that divides 89987 without a remainder.

1, 29, 107, 841, 3103

Step-4: Factors of 90005

List of positive integer factors of 90005 that divides 89987 without a remainder.

1, 5, 47, 235, 383, 1915, 18001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89987 and 90005. The biggest common factor number is the GCF number.
So the greatest common factor 89987 and 90005 is 1.

Also check out the Least Common Multiple of 89987 and 90005