What is the Greatest Common Factor of 92352 and 92365?

Greatest common factor (GCF) of 92352 and 92365 is 13.

GCF(92352,92365) = 13

We will now calculate the prime factors of 92352 and 92365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92352 and 92365.

How to find the GCF of 92352 and 92365?

We will first find the prime factorization of 92352 and 92365. After we will calculate the factors of 92352 and 92365 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 92365

Prime factors of 92365 are 5, 7, 13, 29. Prime factorization of 92365 in exponential form is:

92365 = 5¹ × 7² × 13¹ × 29¹

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 92365

List of positive integer factors of 92365 that divides 92352 without a remainder.

1, 5, 7, 13, 29, 35, 49, 65, 91, 145, 203, 245, 377, 455, 637, 1015, 1421, 1885, 2639, 3185, 7105, 13195, 18473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92352 and 92365. The biggest common factor number is the GCF number.
So the greatest common factor 92352 and 92365 is 13.

Also check out the Least Common Multiple of 92352 and 92365