What is the Greatest Common Factor of 89971 and 89985?

Greatest common factor (GCF) of 89971 and 89985 is 7.

GCF(89971,89985) = 7

We will now calculate the prime factors of 89971 and 89985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89971 and 89985.

How to find the GCF of 89971 and 89985?

We will first find the prime factorization of 89971 and 89985. After we will calculate the factors of 89971 and 89985 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 89985

Prime factors of 89985 are 3, 5, 7, 857. Prime factorization of 89985 in exponential form is:

89985 = 3¹ × 5¹ × 7¹ × 857¹

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 89985

List of positive integer factors of 89985 that divides 89971 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 857, 2571, 4285, 5999, 12855, 17997, 29995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89971 and 89985. The biggest common factor number is the GCF number.
So the greatest common factor 89971 and 89985 is 7.

Also check out the Least Common Multiple of 89971 and 89985