What is the Greatest Common Factor of 93667 and 93681?

Greatest common factor (GCF) of 93667 and 93681 is 7.

GCF(93667,93681) = 7

We will now calculate the prime factors of 93667 and 93681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93667 and 93681.

How to find the GCF of 93667 and 93681?

We will first find the prime factorization of 93667 and 93681. After we will calculate the factors of 93667 and 93681 and find the biggest common factor number .

Step-1: Prime Factorization of 93667

Prime factors of 93667 are 7, 13381. Prime factorization of 93667 in exponential form is:

93667 = 7¹ × 13381¹

Step-2: Prime Factorization of 93681

Prime factors of 93681 are 3, 7, 1487. Prime factorization of 93681 in exponential form is:

93681 = 3² × 7¹ × 1487¹

Step-3: Factors of 93667

List of positive integer factors of 93667 that divides 93667 without a remainder.

1, 7, 13381

Step-4: Factors of 93681

List of positive integer factors of 93681 that divides 93667 without a remainder.

1, 3, 7, 9, 21, 63, 1487, 4461, 10409, 13383, 31227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93667 and 93681. The biggest common factor number is the GCF number.
So the greatest common factor 93667 and 93681 is 7.

Also check out the Least Common Multiple of 93667 and 93681