What is the Greatest Common Factor of 92832 and 92841?

Greatest common factor (GCF) of 92832 and 92841 is 3.

GCF(92832,92841) = 3

We will now calculate the prime factors of 92832 and 92841, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92832 and 92841.

How to find the GCF of 92832 and 92841?

We will first find the prime factorization of 92832 and 92841. After we will calculate the factors of 92832 and 92841 and find the biggest common factor number .

Step-1: Prime Factorization of 92832

Prime factors of 92832 are 2, 3, 967. Prime factorization of 92832 in exponential form is:

92832 = 2⁵ × 3¹ × 967¹

Step-2: Prime Factorization of 92841

Prime factors of 92841 are 3, 7, 4421. Prime factorization of 92841 in exponential form is:

92841 = 3¹ × 7¹ × 4421¹

Step-3: Factors of 92832

List of positive integer factors of 92832 that divides 92832 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 967, 1934, 2901, 3868, 5802, 7736, 11604, 15472, 23208, 30944, 46416

Step-4: Factors of 92841

List of positive integer factors of 92841 that divides 92832 without a remainder.

1, 3, 7, 21, 4421, 13263, 30947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92832 and 92841. The biggest common factor number is the GCF number.
So the greatest common factor 92832 and 92841 is 3.

Also check out the Least Common Multiple of 92832 and 92841