What is the Greatest Common Factor of 92332 and 92352?

Greatest common factor (GCF) of 92332 and 92352 is 4.

GCF(92332,92352) = 4

We will now calculate the prime factors of 92332 and 92352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92332 and 92352.

How to find the GCF of 92332 and 92352?

We will first find the prime factorization of 92332 and 92352. After we will calculate the factors of 92332 and 92352 and find the biggest common factor number .

Step-1: Prime Factorization of 92332

Prime factors of 92332 are 2, 41, 563. Prime factorization of 92332 in exponential form is:

92332 = 2² × 41¹ × 563¹

Step-2: 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-3: Factors of 92332

List of positive integer factors of 92332 that divides 92332 without a remainder.

1, 2, 4, 41, 82, 164, 563, 1126, 2252, 23083, 46166

Step-4: Factors of 92352

List of positive integer factors of 92352 that divides 92332 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92332 and 92352. The biggest common factor number is the GCF number.
So the greatest common factor 92332 and 92352 is 4.

Also check out the Least Common Multiple of 92332 and 92352