What is the Greatest Common Factor of 92446 and 92463?

Greatest common factor (GCF) of 92446 and 92463 is 17.

GCF(92446,92463) = 17

We will now calculate the prime factors of 92446 and 92463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92446 and 92463.

How to find the GCF of 92446 and 92463?

We will first find the prime factorization of 92446 and 92463. After we will calculate the factors of 92446 and 92463 and find the biggest common factor number .

Step-1: Prime Factorization of 92446

Prime factors of 92446 are 2, 17, 2719. Prime factorization of 92446 in exponential form is:

92446 = 2¹ × 17¹ × 2719¹

Step-2: Prime Factorization of 92463

Prime factors of 92463 are 3, 7, 17, 37. Prime factorization of 92463 in exponential form is:

92463 = 3¹ × 7² × 17¹ × 37¹

Step-3: Factors of 92446

List of positive integer factors of 92446 that divides 92446 without a remainder.

1, 2, 17, 34, 2719, 5438, 46223

Step-4: Factors of 92463

List of positive integer factors of 92463 that divides 92446 without a remainder.

1, 3, 7, 17, 21, 37, 49, 51, 111, 119, 147, 259, 357, 629, 777, 833, 1813, 1887, 2499, 4403, 5439, 13209, 30821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92446 and 92463. The biggest common factor number is the GCF number.
So the greatest common factor 92446 and 92463 is 17.

Also check out the Least Common Multiple of 92446 and 92463