What is the Greatest Common Factor of 93135 and 93149?

Greatest common factor (GCF) of 93135 and 93149 is 7.

GCF(93135,93149) = 7

We will now calculate the prime factors of 93135 and 93149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93135 and 93149.

How to find the GCF of 93135 and 93149?

We will first find the prime factorization of 93135 and 93149. After we will calculate the factors of 93135 and 93149 and find the biggest common factor number .

Step-1: Prime Factorization of 93135

Prime factors of 93135 are 3, 5, 7, 887. Prime factorization of 93135 in exponential form is:

93135 = 3¹ × 5¹ × 7¹ × 887¹

Step-2: Prime Factorization of 93149

Prime factors of 93149 are 7, 1901. Prime factorization of 93149 in exponential form is:

93149 = 7² × 1901¹

Step-3: Factors of 93135

List of positive integer factors of 93135 that divides 93135 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 887, 2661, 4435, 6209, 13305, 18627, 31045

Step-4: Factors of 93149

List of positive integer factors of 93149 that divides 93135 without a remainder.

1, 7, 49, 1901, 13307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93135 and 93149. The biggest common factor number is the GCF number.
So the greatest common factor 93135 and 93149 is 7.

Also check out the Least Common Multiple of 93135 and 93149