What is the Greatest Common Factor of 92415 and 92430?

Greatest common factor (GCF) of 92415 and 92430 is 15.

GCF(92415,92430) = 15

We will now calculate the prime factors of 92415 and 92430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92415 and 92430.

How to find the GCF of 92415 and 92430?

We will first find the prime factorization of 92415 and 92430. After we will calculate the factors of 92415 and 92430 and find the biggest common factor number .

Step-1: Prime Factorization of 92415

Prime factors of 92415 are 3, 5, 61, 101. Prime factorization of 92415 in exponential form is:

92415 = 3¹ × 5¹ × 61¹ × 101¹

Step-2: Prime Factorization of 92430

Prime factors of 92430 are 2, 3, 5, 13, 79. Prime factorization of 92430 in exponential form is:

92430 = 2¹ × 3² × 5¹ × 13¹ × 79¹

Step-3: Factors of 92415

List of positive integer factors of 92415 that divides 92415 without a remainder.

1, 3, 5, 15, 61, 101, 183, 303, 305, 505, 915, 1515, 6161, 18483, 30805

Step-4: Factors of 92430

List of positive integer factors of 92430 that divides 92415 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 79, 90, 117, 130, 158, 195, 234, 237, 390, 395, 474, 585, 711, 790, 1027, 1170, 1185, 1422, 2054, 2370, 3081, 3555, 5135, 6162, 7110, 9243, 10270, 15405, 18486, 30810, 46215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92415 and 92430. The biggest common factor number is the GCF number.
So the greatest common factor 92415 and 92430 is 15.

Also check out the Least Common Multiple of 92415 and 92430