What is the Greatest Common Factor of 92496 and 92512?

Greatest common factor (GCF) of 92496 and 92512 is 16.

GCF(92496,92512) = 16

We will now calculate the prime factors of 92496 and 92512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92496 and 92512.

How to find the GCF of 92496 and 92512?

We will first find the prime factorization of 92496 and 92512. After we will calculate the factors of 92496 and 92512 and find the biggest common factor number .

Step-1: Prime Factorization of 92496

Prime factors of 92496 are 2, 3, 41, 47. Prime factorization of 92496 in exponential form is:

92496 = 2⁴ × 3¹ × 41¹ × 47¹

Step-2: Prime Factorization of 92512

Prime factors of 92512 are 2, 7, 59. Prime factorization of 92512 in exponential form is:

92512 = 2⁵ × 7² × 59¹

Step-3: Factors of 92496

List of positive integer factors of 92496 that divides 92496 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 41, 47, 48, 82, 94, 123, 141, 164, 188, 246, 282, 328, 376, 492, 564, 656, 752, 984, 1128, 1927, 1968, 2256, 3854, 5781, 7708, 11562, 15416, 23124, 30832, 46248

Step-4: Factors of 92512

List of positive integer factors of 92512 that divides 92496 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 59, 98, 112, 118, 196, 224, 236, 392, 413, 472, 784, 826, 944, 1568, 1652, 1888, 2891, 3304, 5782, 6608, 11564, 13216, 23128, 46256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92496 and 92512. The biggest common factor number is the GCF number.
So the greatest common factor 92496 and 92512 is 16.

Also check out the Least Common Multiple of 92496 and 92512