What is the Greatest Common Factor of 92352 and 92358?

Greatest common factor (GCF) of 92352 and 92358 is 6.

GCF(92352,92358) = 6

We will now calculate the prime factors of 92352 and 92358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92352 and 92358.

How to find the GCF of 92352 and 92358?

We will first find the prime factorization of 92352 and 92358. After we will calculate the factors of 92352 and 92358 and find the biggest common factor number .

Step-1: Prime Factorization of 92352

Prime factors of 92352 are 2, 3, 13, 37. Prime factorization of 92352 in exponential form is:

92352 = 2⁶ × 3¹ × 13¹ × 37¹

Step-2: Prime Factorization of 92358

Prime factors of 92358 are 2, 3, 7, 733. Prime factorization of 92358 in exponential form is:

92358 = 2¹ × 3² × 7¹ × 733¹

Step-3: Factors of 92352

List of positive integer factors of 92352 that divides 92352 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 37, 39, 48, 52, 64, 74, 78, 96, 104, 111, 148, 156, 192, 208, 222, 296, 312, 416, 444, 481, 592, 624, 832, 888, 962, 1184, 1248, 1443, 1776, 1924, 2368, 2496, 2886, 3552, 3848, 5772, 7104, 7696, 11544, 15392, 23088, 30784, 46176

Step-4: Factors of 92358

List of positive integer factors of 92358 that divides 92352 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 733, 1466, 2199, 4398, 5131, 6597, 10262, 13194, 15393, 30786, 46179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92352 and 92358. The biggest common factor number is the GCF number.
So the greatest common factor 92352 and 92358 is 6.

Also check out the Least Common Multiple of 92352 and 92358