What is the Greatest Common Factor of 93415 and 93429?

Greatest common factor (GCF) of 93415 and 93429 is 7.

GCF(93415,93429) = 7

We will now calculate the prime factors of 93415 and 93429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93415 and 93429.

How to find the GCF of 93415 and 93429?

We will first find the prime factorization of 93415 and 93429. After we will calculate the factors of 93415 and 93429 and find the biggest common factor number .

Step-1: Prime Factorization of 93415

Prime factors of 93415 are 5, 7, 17, 157. Prime factorization of 93415 in exponential form is:

93415 = 5¹ × 7¹ × 17¹ × 157¹

Step-2: Prime Factorization of 93429

Prime factors of 93429 are 3, 7, 1483. Prime factorization of 93429 in exponential form is:

93429 = 3² × 7¹ × 1483¹

Step-3: Factors of 93415

List of positive integer factors of 93415 that divides 93415 without a remainder.

1, 5, 7, 17, 35, 85, 119, 157, 595, 785, 1099, 2669, 5495, 13345, 18683

Step-4: Factors of 93429

List of positive integer factors of 93429 that divides 93415 without a remainder.

1, 3, 7, 9, 21, 63, 1483, 4449, 10381, 13347, 31143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93415 and 93429. The biggest common factor number is the GCF number.
So the greatest common factor 93415 and 93429 is 7.

Also check out the Least Common Multiple of 93415 and 93429