What is the Greatest Common Factor of 89843 and 89850?

Greatest common factor (GCF) of 89843 and 89850 is 1.

GCF(89843,89850) = 1

We will now calculate the prime factors of 89843 and 89850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89843 and 89850.

How to find the GCF of 89843 and 89850?

We will first find the prime factorization of 89843 and 89850. After we will calculate the factors of 89843 and 89850 and find the biggest common factor number .

Step-1: Prime Factorization of 89843

Prime factors of 89843 are 13, 6911. Prime factorization of 89843 in exponential form is:

89843 = 13¹ × 6911¹

Step-2: Prime Factorization of 89850

Prime factors of 89850 are 2, 3, 5, 599. Prime factorization of 89850 in exponential form is:

89850 = 2¹ × 3¹ × 5² × 599¹

Step-3: Factors of 89843

List of positive integer factors of 89843 that divides 89843 without a remainder.

1, 13, 6911

Step-4: Factors of 89850

List of positive integer factors of 89850 that divides 89843 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 599, 1198, 1797, 2995, 3594, 5990, 8985, 14975, 17970, 29950, 44925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89843 and 89850. The biggest common factor number is the GCF number.
So the greatest common factor 89843 and 89850 is 1.

Also check out the Least Common Multiple of 89843 and 89850