What is the Greatest Common Factor of 92575 and 92590?

Greatest common factor (GCF) of 92575 and 92590 is 5.

GCF(92575,92590) = 5

We will now calculate the prime factors of 92575 and 92590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92575 and 92590.

How to find the GCF of 92575 and 92590?

We will first find the prime factorization of 92575 and 92590. After we will calculate the factors of 92575 and 92590 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 92590

Prime factors of 92590 are 2, 5, 47, 197. Prime factorization of 92590 in exponential form is:

92590 = 2¹ × 5¹ × 47¹ × 197¹

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 92590

List of positive integer factors of 92590 that divides 92575 without a remainder.

1, 2, 5, 10, 47, 94, 197, 235, 394, 470, 985, 1970, 9259, 18518, 46295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92575 and 92590. The biggest common factor number is the GCF number.
So the greatest common factor 92575 and 92590 is 5.

Also check out the Least Common Multiple of 92575 and 92590