What is the Greatest Common Factor of 93672 and 93689?

Greatest common factor (GCF) of 93672 and 93689 is 1.

GCF(93672,93689) = 1

We will now calculate the prime factors of 93672 and 93689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93672 and 93689.

How to find the GCF of 93672 and 93689?

We will first find the prime factorization of 93672 and 93689. After we will calculate the factors of 93672 and 93689 and find the biggest common factor number .

Step-1: Prime Factorization of 93672

Prime factors of 93672 are 2, 3, 1301. Prime factorization of 93672 in exponential form is:

93672 = 2³ × 3² × 1301¹

Step-2: Prime Factorization of 93689

Prime factors of 93689 are 19, 4931. Prime factorization of 93689 in exponential form is:

93689 = 19¹ × 4931¹

Step-3: Factors of 93672

List of positive integer factors of 93672 that divides 93672 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1301, 2602, 3903, 5204, 7806, 10408, 11709, 15612, 23418, 31224, 46836

Step-4: Factors of 93689

List of positive integer factors of 93689 that divides 93672 without a remainder.

1, 19, 4931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93672 and 93689. The biggest common factor number is the GCF number.
So the greatest common factor 93672 and 93689 is 1.

Also check out the Least Common Multiple of 93672 and 93689