What is the Greatest Common Factor of 92032 and 92048?

Greatest common factor (GCF) of 92032 and 92048 is 16.

GCF(92032,92048) = 16

We will now calculate the prime factors of 92032 and 92048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92032 and 92048.

How to find the GCF of 92032 and 92048?

We will first find the prime factorization of 92032 and 92048. After we will calculate the factors of 92032 and 92048 and find the biggest common factor number .

Step-1: Prime Factorization of 92032

Prime factors of 92032 are 2, 719. Prime factorization of 92032 in exponential form is:

92032 = 2⁷ × 719¹

Step-2: Prime Factorization of 92048

Prime factors of 92048 are 2, 11, 523. Prime factorization of 92048 in exponential form is:

92048 = 2⁴ × 11¹ × 523¹

Step-3: Factors of 92032

List of positive integer factors of 92032 that divides 92032 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 719, 1438, 2876, 5752, 11504, 23008, 46016

Step-4: Factors of 92048

List of positive integer factors of 92048 that divides 92032 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 523, 1046, 2092, 4184, 5753, 8368, 11506, 23012, 46024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92032 and 92048. The biggest common factor number is the GCF number.
So the greatest common factor 92032 and 92048 is 16.

Also check out the Least Common Multiple of 92032 and 92048