What is the Greatest Common Factor of 92690 and 92700?

Greatest common factor (GCF) of 92690 and 92700 is 10.

GCF(92690,92700) = 10

We will now calculate the prime factors of 92690 and 92700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92690 and 92700.

How to find the GCF of 92690 and 92700?

We will first find the prime factorization of 92690 and 92700. After we will calculate the factors of 92690 and 92700 and find the biggest common factor number .

Step-1: Prime Factorization of 92690

Prime factors of 92690 are 2, 5, 13, 23, 31. Prime factorization of 92690 in exponential form is:

92690 = 2¹ × 5¹ × 13¹ × 23¹ × 31¹

Step-2: Prime Factorization of 92700

Prime factors of 92700 are 2, 3, 5, 103. Prime factorization of 92700 in exponential form is:

92700 = 2² × 3² × 5² × 103¹

Step-3: Factors of 92690

List of positive integer factors of 92690 that divides 92690 without a remainder.

1, 2, 5, 10, 13, 23, 26, 31, 46, 62, 65, 115, 130, 155, 230, 299, 310, 403, 598, 713, 806, 1426, 1495, 2015, 2990, 3565, 4030, 7130, 9269, 18538, 46345

Step-4: Factors of 92700

List of positive integer factors of 92700 that divides 92690 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 103, 150, 180, 206, 225, 300, 309, 412, 450, 515, 618, 900, 927, 1030, 1236, 1545, 1854, 2060, 2575, 3090, 3708, 4635, 5150, 6180, 7725, 9270, 10300, 15450, 18540, 23175, 30900, 46350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92690 and 92700. The biggest common factor number is the GCF number.
So the greatest common factor 92690 and 92700 is 10.

Also check out the Least Common Multiple of 92690 and 92700