What is the Greatest Common Factor of 92349 and 92355?

Greatest common factor (GCF) of 92349 and 92355 is 3.

GCF(92349,92355) = 3

We will now calculate the prime factors of 92349 and 92355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92349 and 92355.

How to find the GCF of 92349 and 92355?

We will first find the prime factorization of 92349 and 92355. After we will calculate the factors of 92349 and 92355 and find the biggest common factor number .

Step-1: Prime Factorization of 92349

Prime factors of 92349 are 3, 31, 331. Prime factorization of 92349 in exponential form is:

92349 = 3² × 31¹ × 331¹

Step-2: Prime Factorization of 92355

Prime factors of 92355 are 3, 5, 47, 131. Prime factorization of 92355 in exponential form is:

92355 = 3¹ × 5¹ × 47¹ × 131¹

Step-3: Factors of 92349

List of positive integer factors of 92349 that divides 92349 without a remainder.

1, 3, 9, 31, 93, 279, 331, 993, 2979, 10261, 30783

Step-4: Factors of 92355

List of positive integer factors of 92355 that divides 92349 without a remainder.

1, 3, 5, 15, 47, 131, 141, 235, 393, 655, 705, 1965, 6157, 18471, 30785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92349 and 92355. The biggest common factor number is the GCF number.
So the greatest common factor 92349 and 92355 is 3.

Also check out the Least Common Multiple of 92349 and 92355