What is the Greatest Common Factor of 92640 and 92650?

Greatest common factor (GCF) of 92640 and 92650 is 10.

GCF(92640,92650) = 10

We will now calculate the prime factors of 92640 and 92650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92640 and 92650.

How to find the GCF of 92640 and 92650?

We will first find the prime factorization of 92640 and 92650. After we will calculate the factors of 92640 and 92650 and find the biggest common factor number .

Step-1: Prime Factorization of 92640

Prime factors of 92640 are 2, 3, 5, 193. Prime factorization of 92640 in exponential form is:

92640 = 2⁵ × 3¹ × 5¹ × 193¹

Step-2: Prime Factorization of 92650

Prime factors of 92650 are 2, 5, 17, 109. Prime factorization of 92650 in exponential form is:

92650 = 2¹ × 5² × 17¹ × 109¹

Step-3: Factors of 92640

List of positive integer factors of 92640 that divides 92640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 193, 240, 386, 480, 579, 772, 965, 1158, 1544, 1930, 2316, 2895, 3088, 3860, 4632, 5790, 6176, 7720, 9264, 11580, 15440, 18528, 23160, 30880, 46320

Step-4: Factors of 92650

List of positive integer factors of 92650 that divides 92640 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 109, 170, 218, 425, 545, 850, 1090, 1853, 2725, 3706, 5450, 9265, 18530, 46325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92640 and 92650. The biggest common factor number is the GCF number.
So the greatest common factor 92640 and 92650 is 10.

Also check out the Least Common Multiple of 92640 and 92650