What is the Greatest Common Factor of 92864 and 92872?

Greatest common factor (GCF) of 92864 and 92872 is 8.

GCF(92864,92872) = 8

We will now calculate the prime factors of 92864 and 92872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92864 and 92872.

How to find the GCF of 92864 and 92872?

We will first find the prime factorization of 92864 and 92872. After we will calculate the factors of 92864 and 92872 and find the biggest common factor number .

Step-1: Prime Factorization of 92864

Prime factors of 92864 are 2, 1451. Prime factorization of 92864 in exponential form is:

92864 = 2⁶ × 1451¹

Step-2: Prime Factorization of 92872

Prime factors of 92872 are 2, 13, 19, 47. Prime factorization of 92872 in exponential form is:

92872 = 2³ × 13¹ × 19¹ × 47¹

Step-3: Factors of 92864

List of positive integer factors of 92864 that divides 92864 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1451, 2902, 5804, 11608, 23216, 46432

Step-4: Factors of 92872

List of positive integer factors of 92872 that divides 92864 without a remainder.

1, 2, 4, 8, 13, 19, 26, 38, 47, 52, 76, 94, 104, 152, 188, 247, 376, 494, 611, 893, 988, 1222, 1786, 1976, 2444, 3572, 4888, 7144, 11609, 23218, 46436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92864 and 92872. The biggest common factor number is the GCF number.
So the greatest common factor 92864 and 92872 is 8.

Also check out the Least Common Multiple of 92864 and 92872