What is the Greatest Common Factor of 92288 and 92300?

Greatest common factor (GCF) of 92288 and 92300 is 4.

GCF(92288,92300) = 4

We will now calculate the prime factors of 92288 and 92300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92288 and 92300.

How to find the GCF of 92288 and 92300?

We will first find the prime factorization of 92288 and 92300. After we will calculate the factors of 92288 and 92300 and find the biggest common factor number .

Step-1: Prime Factorization of 92288

Prime factors of 92288 are 2, 7, 103. Prime factorization of 92288 in exponential form is:

92288 = 2⁷ × 7¹ × 103¹

Step-2: Prime Factorization of 92300

Prime factors of 92300 are 2, 5, 13, 71. Prime factorization of 92300 in exponential form is:

92300 = 2² × 5² × 13¹ × 71¹

Step-3: Factors of 92288

List of positive integer factors of 92288 that divides 92288 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 103, 112, 128, 206, 224, 412, 448, 721, 824, 896, 1442, 1648, 2884, 3296, 5768, 6592, 11536, 13184, 23072, 46144

Step-4: Factors of 92300

List of positive integer factors of 92300 that divides 92288 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 71, 100, 130, 142, 260, 284, 325, 355, 650, 710, 923, 1300, 1420, 1775, 1846, 3550, 3692, 4615, 7100, 9230, 18460, 23075, 46150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92288 and 92300. The biggest common factor number is the GCF number.
So the greatest common factor 92288 and 92300 is 4.

Also check out the Least Common Multiple of 92288 and 92300