What is the Greatest Common Factor of 92575 and 92582?

Greatest common factor (GCF) of 92575 and 92582 is 7.

GCF(92575,92582) = 7

We will now calculate the prime factors of 92575 and 92582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92575 and 92582.

How to find the GCF of 92575 and 92582?

We will first find the prime factorization of 92575 and 92582. After we will calculate the factors of 92575 and 92582 and find the biggest common factor number .

Step-1: Prime Factorization of 92575

Prime factors of 92575 are 5, 7, 23. Prime factorization of 92575 in exponential form is:

92575 = 5² × 7¹ × 23²

Step-2: Prime Factorization of 92582

Prime factors of 92582 are 2, 7, 17, 389. Prime factorization of 92582 in exponential form is:

92582 = 2¹ × 7¹ × 17¹ × 389¹

Step-3: Factors of 92575

List of positive integer factors of 92575 that divides 92575 without a remainder.

1, 5, 7, 23, 25, 35, 115, 161, 175, 529, 575, 805, 2645, 3703, 4025, 13225, 18515

Step-4: Factors of 92582

List of positive integer factors of 92582 that divides 92575 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 389, 778, 2723, 5446, 6613, 13226, 46291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92575 and 92582. The biggest common factor number is the GCF number.
So the greatest common factor 92575 and 92582 is 7.

Also check out the Least Common Multiple of 92575 and 92582