What is the Greatest Common Factor of 92430 and 92442?

Greatest common factor (GCF) of 92430 and 92442 is 6.

GCF(92430,92442) = 6

We will now calculate the prime factors of 92430 and 92442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92430 and 92442.

How to find the GCF of 92430 and 92442?

We will first find the prime factorization of 92430 and 92442. After we will calculate the factors of 92430 and 92442 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 92442

Prime factors of 92442 are 2, 3, 7, 31, 71. Prime factorization of 92442 in exponential form is:

92442 = 2¹ × 3¹ × 7¹ × 31¹ × 71¹

Step-3: Factors of 92430

List of positive integer factors of 92430 that divides 92430 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

Step-4: Factors of 92442

List of positive integer factors of 92442 that divides 92430 without a remainder.

1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 71, 93, 142, 186, 213, 217, 426, 434, 497, 651, 994, 1302, 1491, 2201, 2982, 4402, 6603, 13206, 15407, 30814, 46221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92430 and 92442. The biggest common factor number is the GCF number.
So the greatest common factor 92430 and 92442 is 6.

Also check out the Least Common Multiple of 92430 and 92442